456880 has 20 divisors (see below), whose sum is σ = 1062432. Its totient is φ = 182720.

The previous prime is 456877. The next prime is 456881. The reversal of 456880 is 88654.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (456881) 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, 2776 + ... + 2935.

2⁴⁵⁶⁸⁸⁰ is an apocalyptic number.

456880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456880 is an abundant number, since it is smaller than the sum of its proper divisors (605552).

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

456880 is a wasteful number, since it uses less digits than its factorization.

456880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 456880 is about 675.9289903533. The cubic root of 456880 is about 77.0195036893.

The spelling of 456880 in words is "four hundred fifty-six thousand, eight hundred eighty".