407115664 has 20 divisors (see below), whose sum is σ = 798292656. Its totient is φ = 201104672.

The previous prime is 407115661. The next prime is 407115673. The reversal of 407115664 is 466511704.

It is not an unprimeable number, because it can be changed into a prime (407115661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151954 + ... + 154609.

Almost surely, 2^407115664 is an apocalyptic number.

It is an amenable number.

407115664 is a deficient number, since it is larger than the sum of its proper divisors (391176992).

407115664 is a wasteful number, since it uses less digits than its factorization.

407115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306654 (or 306648 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 407115664 is about 20177.1074240090. The cubic root of 407115664 is about 741.1497005473.

The spelling of 407115664 in words is "four hundred seven million, one hundred fifteen thousand, six hundred sixty-four".