461626164 has 36 divisors (see below), whose sum is σ = 1167566400. Its totient is φ = 153786000.

The previous prime is 461626159. The next prime is 461626183.

461626164 is a `hidden beast` number, since 4 + 616 + 26 + 16 + 4 = 666.

461626164 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 nude number because it is divisible by every one of its digits.

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, 94789 + ... + 99539.

It is an arithmetic number, because the mean of its divisors is an integer number (32432400).

Almost surely, 2^461626164 is an apocalyptic number.

It is an amenable number.

461626164 is an abundant number, since it is smaller than the sum of its proper divisors (705940236).

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

461626164 is a wasteful number, since it uses less digits than its factorization.

461626164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7455 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 461626164 is about 21485.4872879346. The cubic root of 461626164 is about 772.8528365878.

It can be divided in two parts, 46162 and 6164, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 461626164 in words is "four hundred sixty-one million, six hundred twenty-six thousand, one hundred sixty-four".