432647056 has 80 divisors (see below), whose sum is σ = 899339760. Its totient is φ = 201277440.

The previous prime is 432647041. The next prime is 432647077. The reversal of 432647056 is 650746234.

It can be written as a sum of positive squares in 8 ways, for example, as 36000000 + 396647056 = 6000^2 + 19916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795096 + ... + 1795336.

It is an arithmetic number, because the mean of its divisors is an integer number (11241747).

Almost surely, 2^432647056 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 432647056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449669880).

432647056 is an abundant number, since it is smaller than the sum of its proper divisors (466692704).

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

432647056 is a wasteful number, since it uses less digits than its factorization.

432647056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 432647056 is about 20800.1696146930. The cubic root of 432647056 is about 756.3298673384.

It can be divided in two parts, 43264 and 7056, that multiplied together give a square (305270784 = 17472²).

The spelling of 432647056 in words is "four hundred thirty-two million, six hundred forty-seven thousand, fifty-six".