456352464 has 40 divisors (see below), whose sum is σ = 1206332512. Its totient is φ = 148579200.

The previous prime is 456352459. The next prime is 456352489. The reversal of 456352464 is 464253654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108487 + ... + 112614.

Almost surely, 2^456352464 is an apocalyptic number.

It is an amenable number.

456352464 is an abundant number, since it is smaller than the sum of its proper divisors (749980048).

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

456352464 is a wasteful number, since it uses less digits than its factorization.

456352464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221155 (or 221149 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The square root of 456352464 is about 21362.4077294672. The cubic root of 456352464 is about 769.8984877703.

The spelling of 456352464 in words is "four hundred fifty-six million, three hundred fifty-two thousand, four hundred sixty-four".