Jim likes 1728 but not 625; he likes 512 but not 2025; he likes 8000 but not 400. ?

Question

Which of the following numbers does Jim like?

462 - 4225 - 144 - 1331 - or 49

Answer 1

1728 = 12^3 <-- likes

625 = 5^4

512 = 8^3 <-- likes

2025 = 45^2

8000 = 20^3 <-- likes

400 = 20^2

I would guess he likes numbers that are perfect cubes.  The only number in the list that is a perfect cube is 1331.

1331 = 11^3

Answer 2

And 1331 is 11^3