At least at the outset of the 62 model year, the top engine option in B bodies was the 361 four barrel. Of course, the 413 max became available late in the year, after non-max 413s became available I believe in the early spring. 383s in 62 B bodies? I've never seen one, either. Not saying they didn't exist, but I've never seen one.
By the way, Oldmanmopar, my parents bought a new 62 Polara 500 convertible in November of 1962 (factory executive car with 3,000 miles, not titled until my folks bought it). Black with a red and white interior. Looked just like yours except for a black top. Motor was a 361 four barrel, automatic and (something I didn't know for many years) 2.76 rear gears, which were the standard gears for that engine/trans combo. Same dealer had a 63 Polara convertible, turquoise with a white top and a 383 2-barrel. Same price. Mom and Dad chose the black 62. Dad liked a black car. If he got a car that wasn't black, it got repainted black some time during his ownership.
My younger brother in the pic below. Car had a 440 in it by then.
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