416064564 has 36 divisors (see below), whose sum is σ = 1053474240. Its totient is φ = 138456720.

The previous prime is 416064563. The next prime is 416064577. The reversal of 416064564 is 465460614.

416064564 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 645 + 6 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (416064563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12949 + ... + 31619.

Almost surely, 2^416064564 is an apocalyptic number.

It is an amenable number.

416064564 is an abundant number, since it is smaller than the sum of its proper divisors (637409676).

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

416064564 is a wasteful number, since it uses less digits than its factorization.

416064564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19300 (or 19295 counting only the distinct ones).

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

The square root of 416064564 is about 20397.6607482329. The cubic root of 416064564 is about 746.5408488930.

The spelling of 416064564 in words is "four hundred sixteen million, sixty-four thousand, five hundred sixty-four".