431575056 has 360 divisors, whose sum is σ = 1481905152. Its totient is φ = 116582400.

The previous prime is 431575049. The next prime is 431575069. The reversal of 431575056 is 650575134.

431575056 is a `hidden beast` number, since 4 + 31 + 575 + 0 + 56 = 666.

It is a super-2 number, since 2×431575056² = 372514057922806272, which contains 22 as substring.

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 431575056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9182425 + ... + 9182471.

Almost surely, 2^431575056 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 431575056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740952576).

431575056 is an abundant number, since it is smaller than the sum of its proper divisors (1050330096).

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

431575056 is a wasteful number, since it uses less digits than its factorization.

431575056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 431575056 is about 20774.3846118242. The cubic root of 431575056 is about 755.7046801513.

The spelling of 431575056 in words is "four hundred thirty-one million, five hundred seventy-five thousand, fifty-six".