456560160 has 192 divisors, whose sum is σ = 1740517632. Its totient is φ = 98205696.

The previous prime is 456560107. The next prime is 456560161. The reversal of 456560160 is 61065654.

It is not an unprimeable number, because it can be changed into a prime (456560161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53124 + ... + 61116.

It is an arithmetic number, because the mean of its divisors is an integer number (9065196).

Almost surely, 2^456560160 is an apocalyptic number.

456560160 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 456560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870258816).

456560160 is an abundant number, since it is smaller than the sum of its proper divisors (1283957472).

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

456560160 is a wasteful number, since it uses less digits than its factorization.

456560160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 456560160 is about 21367.2684262636. The cubic root of 456560160 is about 770.0152692761.

The spelling of 456560160 in words is "four hundred fifty-six million, five hundred sixty thousand, one hundred sixty".