456559920 has 120 divisors (see below), whose sum is σ = 1545662976. Its totient is φ = 120766464.

The previous prime is 456559919. The next prime is 456559931. The reversal of 456559920 is 29955654.

It is a happy number.

456559920 is a `hidden beast` number, since 4 + 5 + 6 + 559 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88944 + ... + 93936.

Almost surely, 2^456559920 is an apocalyptic number.

456559920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772831488).

456559920 is an abundant number, since it is smaller than the sum of its proper divisors (1089103056).

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

456559920 is a wasteful number, since it uses less digits than its factorization.

456559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 456559920 is about 21367.2628101963. The cubic root of 456559920 is about 770.0151343514.

The spelling of 456559920 in words is "four hundred fifty-six million, five hundred fifty-nine thousand, nine hundred twenty".