431585664 has 96 divisors (see below), whose sum is σ = 1218114600. Its totient is φ = 135364608.

The previous prime is 431585629. The next prime is 431585669. The reversal of 431585664 is 466585134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431585669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109032 + ... + 112920.

Almost surely, 2^431585664 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 431585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609057300).

431585664 is an abundant number, since it is smaller than the sum of its proper divisors (786528936).

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

431585664 is a wasteful number, since it uses less digits than its factorization.

431585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3911 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 431585664 is about 20774.6399246774. The cubic root of 431585664 is about 755.7108717738.

The spelling of 431585664 in words is "four hundred thirty-one million, five hundred eighty-five thousand, six hundred sixty-four".