AVB, I have no luck getting people to tell me model type codes unless they bring it in, so have a reasonable off the top of the head converter.
Model type code makes it so much easier, but then briggs do stupid crap like half stamping numbers so I get told gibberish (especially later quantum)
series 500 is a 10t602 for sure, a common one over here I just looked up is a type 0146 H1
Quattro not sure but 10A902 rings bells, not sure of type, but my search history has 0164 which would have been a viking stihl mower I looked up
450 briggs is 09t502 , try 012 something. If I had a dollar for every oil change I have done on one of these 450s I would have a fair bit of coin. Very average motor, but good appliance and can take a hammering