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Google "J.C. HIggins serial number", but you may not have luck. The exact year is not important, as the style of bike will be fairly consistent in a range of years, as will value. If it's a 3 speed check the rear hub, which will have the month and year of manufacture on it. The bike model will be within about a year of that. I can tell you that bike was manufactured by Murray of Ohio, due to MO serial number.
I am sorry to say that the year is not very important. Sears bikes, except perhaps for JC Higgens ones, are not very collectible/valuable at all, and girls bikes always less so. As other companies made bikes for Sears there is no consistency at all in serial numbers that would allow you to date the bike. The first three sets of numbers refer to Sears (502) the model (451) and number of speeds/style (33). I don't know how to decode model - do a google search.
As has been discussed numerous times it is usually not useful to try to get info from a bike serial number. That is especially true for department store bikes, which were made by various manufacturers, even in the same year. Sometimes components (hubs, tires, etc. have date codes on them that will tell you when the component was manufactured. The model name, if any, will be on the bike - frame tube or chainguard. Also any department store bike, unless very old, is of little value. Best way to date it is to Google Sears (# of speeds) bicycle and look at the Image results, then see if a similar bike to yours has a notation on the web page where it's posted as to what year it is.
The serial number alone is not enough to determine the year unless you also include the maker and the model number. Even then it may not be possible, but without that information there is not enough criteria to figure it out.
For example, if the tractor was made by Sears then you probably could narrow down the year based upon the years of production of that particular model at Sears.
Sometimes the year is embedded in the serial number, but the algorithm for determining that is based upon the maker and the model...there is no universal serial number to model year conversion... And in some cases the serial number has nothing to do with the model year... It literally can be a randomized number that's ensured/verified to be unique... However in that case the company may have a database that they can look it up and tell you.
my recommendation is to call the company that manufactured it and give them the model number and the serial number and they will probably be able to tell you... If they can't, chances are there is no easy way to figure it out.
Not practical to find that info from serial number. Someone who has a similar bike might be able to narrow it down, but that style made for many years. In any case it's not really important, as the bike is not valuable/rare and repair parts do not depend on year or brand.