456480840 has 64 divisors (see below), whose sum is σ = 1406468160. Its totient is φ = 118437120.

The previous prime is 456480823. The next prime is 456480863. The reversal of 456480840 is 48084654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46966 + ... + 55845.

It is an arithmetic number, because the mean of its divisors is an integer number (21976065).

Almost surely, 2^456480840 is an apocalyptic number.

456480840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456480840 is an abundant number, since it is smaller than the sum of its proper divisors (949987320).

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

456480840 is a wasteful number, since it uses less digits than its factorization.

456480840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102862 (or 102858 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 456480840 is about 21365.4122356673. The cubic root of 456480840 is about 769.9706740954.

The spelling of 456480840 in words is "four hundred fifty-six million, four hundred eighty thousand, eight hundred forty".