431372864 has 56 divisors (see below), whose sum is σ = 933663360. Its totient is φ = 196545024.

The previous prime is 431372813. The next prime is 431372869. The reversal of 431372864 is 468273134.

It is not an unprimeable number, because it can be changed into a prime (431372869) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 62447 + ... + 69009.

It is an arithmetic number, because the mean of its divisors is an integer number (16672560).

Almost surely, 2^431372864 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 431372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466831680).

431372864 is an abundant number, since it is smaller than the sum of its proper divisors (502290496).

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

431372864 is a wasteful number, since it uses less digits than its factorization.

431372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6657 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 431372864 is about 20769.5176641154. The cubic root of 431372864 is about 755.5866463689.

It can be divided in two parts, 4313 and 72864, that added together give a palindrome (77177).

The spelling of 431372864 in words is "four hundred thirty-one million, three hundred seventy-two thousand, eight hundred sixty-four".