465604164 has 72 divisors (see below), whose sum is σ = 1238328000. Its totient is φ = 147290304.

The previous prime is 465604141. The next prime is 465604207. The reversal of 465604164 is 461406564.

465604164 is a `hidden beast` number, since 46 + 5 + 604 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57817 + ... + 65375.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^465604164 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 465604164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

465604164 is an abundant number, since it is smaller than the sum of its proper divisors (772723836).

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

465604164 is a wasteful number, since it uses less digits than its factorization.

465604164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 465604164 is about 21577.8628228099. The cubic root of 465604164 is about 775.0664744923.

The spelling of 465604164 in words is "four hundred sixty-five million, six hundred four thousand, one hundred sixty-four".