413557164 has 60 divisors (see below), whose sum is σ = 1144730664. Its totient is φ = 129741696.

The previous prime is 413557163. The next prime is 413557169. The reversal of 413557164 is 461755314.

413557164 is a `hidden beast` number, since 41 + 3 + 557 + 1 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (413557163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32034 + ... + 43049.

Almost surely, 2^413557164 is an apocalyptic number.

It is an amenable number.

413557164 is an abundant number, since it is smaller than the sum of its proper divisors (731173500).

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

413557164 is a wasteful number, since it uses less digits than its factorization.

413557164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75116 (or 75105 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 413557164 is about 20336.1049367867. The cubic root of 413557164 is about 745.0381578882.

The spelling of 413557164 in words is "four hundred thirteen million, five hundred fifty-seven thousand, one hundred sixty-four".