412909056 has 320 divisors, whose sum is σ = 1484904960. Its totient is φ = 110592000.

The previous prime is 412909043. The next prime is 412909093. The reversal of 412909056 is 650909214.

It is a super-2 number, since 2×412909056² = 340987777053622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 412909056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644931 + ... + 1645181.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2^412909056 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 412909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

412909056 is an abundant number, since it is smaller than the sum of its proper divisors (1071995904).

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

412909056 is a wasteful number, since it uses less digits than its factorization.

412909056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 412909056 is about 20320.1637788675. The cubic root of 412909056 is about 744.6487577490.

The spelling of 412909056 in words is "four hundred twelve million, nine hundred nine thousand, fifty-six".