407916864 has 56 divisors (see below), whose sum is σ = 1199205120. Its totient is φ = 135971712.

The previous prime is 407916851. The next prime is 407916869. The reversal of 407916864 is 468619704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407916869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116304 + ... + 119759.

Almost surely, 2^407916864 is an apocalyptic number.

It is an amenable number.

407916864 is an abundant number, since it is smaller than the sum of its proper divisors (791288256).

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

407916864 is a wasteful number, since it uses less digits than its factorization.

407916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236084 (or 236068 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 407916864 is about 20196.9518492272. The cubic root of 407916864 is about 741.6355739578.

The spelling of 407916864 in words is "four hundred seven million, nine hundred sixteen thousand, eight hundred sixty-four".