456981120 has 96 divisors (see below), whose sum is σ = 1578032820. Its totient is φ = 121860096.

The previous prime is 456981113. The next prime is 456981127. The reversal of 456981120 is 21189654.

456981120 is a `hidden beast` number, since 4 + 569 + 81 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (456981113) and next prime (456981127).

It can be written as a sum of positive squares in 2 ways, for example, as 417139776 + 39841344 = 20424^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (456981127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33909 + ... + 45428.

Almost surely, 2^456981120 is an apocalyptic number.

456981120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456981120 is an abundant number, since it is smaller than the sum of its proper divisors (1121051700).

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

456981120 is a wasteful number, since it uses less digits than its factorization.

456981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79362 (or 79347 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 456981120 is about 21377.1167372964. The cubic root of 456981120 is about 770.2518544213.

The spelling of 456981120 in words is "four hundred fifty-six million, nine hundred eighty-one thousand, one hundred twenty".