431056656 has 60 divisors (see below), whose sum is σ = 1211766192. Its totient is φ = 143041728.

The previous prime is 431056603. The next prime is 431056687. The reversal of 431056656 is 656650134.

431056656 is a `hidden beast` number, since 43 + 1 + 0 + 566 + 56 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 431056656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26095 + ... + 39281.

Almost surely, 2^431056656 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 431056656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605883096).

431056656 is an abundant number, since it is smaller than the sum of its proper divisors (780709536).

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

431056656 is a wasteful number, since it uses less digits than its factorization.

431056656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13428 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 431056656 is about 20761.9039589340. The cubic root of 431056656 is about 755.4019794100.

The spelling of 431056656 in words is "four hundred thirty-one million, fifty-six thousand, six hundred fifty-six".