405465164 has 48 divisors (see below), whose sum is σ = 811567008. Its totient is φ = 175592448.

The previous prime is 405465163. The next prime is 405465197. The reversal of 405465164 is 461564504.

It is not an unprimeable number, because it can be changed into a prime (405465161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461894 + ... + 462770.

It is an arithmetic number, because the mean of its divisors is an integer number (16907646).

Almost surely, 2^405465164 is an apocalyptic number.

It is an amenable number.

405465164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

405465164 is a wasteful number, since it uses less digits than its factorization.

405465164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 405465164 is about 20136.1655734154. The cubic root of 405465164 is about 740.1467714718.

The spelling of 405465164 in words is "four hundred five million, four hundred sixty-five thousand, one hundred sixty-four".