465086664 has 128 divisors (see below), whose sum is σ = 1498828800. Its totient is φ = 130870080.

The previous prime is 465086653. The next prime is 465086669. The reversal of 465086664 is 466680564.

It is not an unprimeable number, because it can be changed into a prime (465086669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99009 + ... + 103599.

It is an arithmetic number, because the mean of its divisors is an integer number (11709600).

Almost surely, 2^465086664 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 465086664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749414400).

465086664 is an abundant number, since it is smaller than the sum of its proper divisors (1033742136).

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

465086664 is a wasteful number, since it uses less digits than its factorization.

465086664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 465086664 is about 21565.8680326112. The cubic root of 465086664 is about 774.7792164705.

The spelling of 465086664 in words is "four hundred sixty-five million, eighty-six thousand, six hundred sixty-four".