456904560 has 80 divisors (see below), whose sum is σ = 1618753536. Its totient is φ = 104434944.

The previous prime is 456904559. The next prime is 456904589. The reversal of 456904560 is 65409654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134304 + ... + 137663.

Almost surely, 2^456904560 is an apocalyptic number.

456904560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456904560 is an abundant number, since it is smaller than the sum of its proper divisors (1161848976).

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

456904560 is a wasteful number, since it uses less digits than its factorization.

456904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271990 (or 271984 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 456904560 is about 21375.3259624269. The cubic root of 456904560 is about 770.2088374907.

The spelling of 456904560 in words is "four hundred fifty-six million, nine hundred four thousand, five hundred sixty".