456412964 has 24 divisors (see below), whose sum is σ = 913301760. Its totient is φ = 195503616.

The previous prime is 456412963. The next prime is 456412993. The reversal of 456412964 is 469214654.

It is not an unprimeable number, because it can be changed into a prime (456412961) 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, 79172 + ... + 84740.

It is an arithmetic number, because the mean of its divisors is an integer number (38054240).

Almost surely, 2^456412964 is an apocalyptic number.

It is an amenable number.

456412964 is an abundant number, since it is smaller than the sum of its proper divisors (456888796).

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

456412964 is a wasteful number, since it uses less digits than its factorization.

456412964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507 (or 8505 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 456412964 is about 21363.8237214222. The cubic root of 456412964 is about 769.9325088425.

The spelling of 456412964 in words is "four hundred fifty-six million, four hundred twelve thousand, nine hundred sixty-four".