465857664 has 64 divisors (see below), whose sum is σ = 1310243040. Its totient is φ = 146149376.

The previous prime is 465857659. The next prime is 465857699. The reversal of 465857664 is 466758564.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29154 + ... + 42209.

Almost surely, 2^465857664 is an apocalyptic number.

It is an amenable number.

465857664 is an abundant number, since it is smaller than the sum of its proper divisors (844385376).

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

465857664 is a wasteful number, since it uses less digits than its factorization.

465857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71397 (or 71385 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The square root of 465857664 is about 21583.7360992021. The cubic root of 465857664 is about 775.2071116252.

The spelling of 465857664 in words is "four hundred sixty-five million, eight hundred fifty-seven thousand, six hundred sixty-four".