461707164 has 36 divisors (see below), whose sum is σ = 1198639624. Its totient is φ = 149742432.

The previous prime is 461707159. The next prime is 461707177.

461707164 is a `hidden beast` number, since 461 + 70 + 71 + 64 = 666.

461707164 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171982 + ... + 174645.

Almost surely, 2^461707164 is an apocalyptic number.

It is an amenable number.

461707164 is an abundant number, since it is smaller than the sum of its proper divisors (736932460).

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

461707164 is a wasteful number, since it uses less digits than its factorization.

461707164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346674 (or 346669 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 461707164 is about 21487.3721985728. The cubic root of 461707164 is about 772.8980372455.

The spelling of 461707164 in words is "four hundred sixty-one million, seven hundred seven thousand, one hundred sixty-four".