431897664 has 224 divisors, whose sum is σ = 1345996800. Its totient is φ = 120821760.

The previous prime is 431897659. The next prime is 431897671. The reversal of 431897664 is 466798134.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1885902 + ... + 1886130.

Almost surely, 2^431897664 is an apocalyptic number.

431897664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672998400).

431897664 is an abundant number, since it is smaller than the sum of its proper divisors (914099136).

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

431897664 is a wasteful number, since it uses less digits than its factorization.

431897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 431897664 is about 20782.1477234669. The cubic root of 431897664 is about 755.8929329633.

The spelling of 431897664 in words is "four hundred thirty-one million, eight hundred ninety-seven thousand, six hundred sixty-four".