456424880 has 40 divisors (see below), whose sum is σ = 1107330912. Its totient is φ = 174631424.

The previous prime is 456424819. The next prime is 456424883. The reversal of 456424880 is 88424654.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (456424883) 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, 122189 + ... + 125868.

Almost surely, 2^456424880 is an apocalyptic number.

456424880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456424880 is an abundant number, since it is smaller than the sum of its proper divisors (650906032).

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

456424880 is a wasteful number, since it uses less digits than its factorization.

456424880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248093 (or 248087 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 456424880 is about 21364.1026022625. The cubic root of 456424880 is about 769.9392092335.

The spelling of 456424880 in words is "four hundred fifty-six million, four hundred twenty-four thousand, eight hundred eighty".