431857664 has 112 divisors (see below), whose sum is σ = 1047463488. Its totient is φ = 173801472.

The previous prime is 431857627. The next prime is 431857697. The reversal of 431857664 is 466758134.

It is a tau number, because it is divible by the number of its divisors (112).

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 7 ways as a sum of consecutive naturals, for example, 974627 + ... + 975069.

Almost surely, 2^431857664 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 431857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523731744).

431857664 is an abundant number, since it is smaller than the sum of its proper divisors (615605824).

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

431857664 is an equidigital number, since it uses as much as digits as its factorization.

431857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 431857664 is about 20781.1853367415. The cubic root of 431857664 is about 755.8695966861.

The spelling of 431857664 in words is "four hundred thirty-one million, eight hundred fifty-seven thousand, six hundred sixty-four".