456813984 has 48 divisors (see below), whose sum is σ = 1308152160. Its totient is φ = 138428160.

The previous prime is 456813911. The next prime is 456814019. The reversal of 456813984 is 489318654.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 215239 + ... + 217350.

It is an arithmetic number, because the mean of its divisors is an integer number (27253170).

Almost surely, 2^456813984 is an apocalyptic number.

456813984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

456813984 is an abundant number, since it is smaller than the sum of its proper divisors (851338176).

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

456813984 is a wasteful number, since it uses less digits than its factorization.

456813984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432613 (or 432605 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 456813984 is about 21373.2071528819. The cubic root of 456813984 is about 770.1579391542.

The spelling of 456813984 in words is "four hundred fifty-six million, eight hundred thirteen thousand, nine hundred eighty-four".