456160320 has 672 divisors, whose sum is σ = 2088343296. Its totient is φ = 89210880.

The previous prime is 456160291. The next prime is 456160361. The reversal of 456160320 is 23061654.

456160320 is a `hidden beast` number, since 4 + 56 + 1 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26832952 + ... + 26832968.

Almost surely, 2^456160320 is an apocalyptic number.

456160320 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 456160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044171648).

456160320 is an abundant number, since it is smaller than the sum of its proper divisors (1632182976).

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

456160320 is a wasteful number, since it uses less digits than its factorization.

456160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 456160320 is about 21357.9100101110. The cubic root of 456160320 is about 769.7904191513.

The spelling of 456160320 in words is "four hundred fifty-six million, one hundred sixty thousand, three hundred twenty".