412512256 has 104 divisors (see below), whose sum is σ = 910052864. Its totient is φ = 185794560.

The previous prime is 412512227. The next prime is 412512283. The reversal of 412512256 is 652215214.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×412512256² = 340332722700419072, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 412512256 = 88³ + 744³ = 240³ + 736³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3248065 + ... + 3248191.

Almost surely, 2^412512256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455026432).

412512256 is an abundant number, since it is smaller than the sum of its proper divisors (497540608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412512256 is a wasteful number, since it uses less digits than its factorization.

412512256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 412512256 is about 20310.3977312115. The cubic root of 412512256 is about 744.4101488487.

The spelling of 412512256 in words is "four hundred twelve million, five hundred twelve thousand, two hundred fifty-six".