432972864 has 175 divisors, whose sum is σ = 1363682947. Its totient is φ = 135834624.

The previous prime is 432972823. The next prime is 432972887. The reversal of 432972864 is 468279234.

The square root of 432972864 is 20808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 298598400 = 11592^2 + 17280^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=102.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 25468984 + ... + 25469000.

Almost surely, 2^432972864 is an apocalyptic number.

432972864 is the 20808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432972864

432972864 is an abundant number, since it is smaller than the sum of its proper divisors (930710083).

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

432972864 is an frugal number, since it uses more digits than its factorization.

432972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 22 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The cubic root of 432972864 is about 756.5196729303.

The spelling of 432972864 in words is "four hundred thirty-two million, nine hundred seventy-two thousand, eight hundred sixty-four".