456051560 has 16 divisors (see below), whose sum is σ = 1026116100. Its totient is φ = 182420608.

The previous prime is 456051553. The next prime is 456051577. The reversal of 456051560 is 65150654.

It can be written as a sum of positive squares in 2 ways, for example, as 444450724 + 11600836 = 21082^2 + 3406^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5700605 + ... + 5700684.

Almost surely, 2^456051560 is an apocalyptic number.

456051560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456051560 is an abundant number, since it is smaller than the sum of its proper divisors (570064540).

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

456051560 is a wasteful number, since it uses less digits than its factorization.

456051560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401300 (or 11401296 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 456051560 is about 21355.3637290494. The cubic root of 456051560 is about 769.7292352086.

The spelling of 456051560 in words is "four hundred fifty-six million, fifty-one thousand, five hundred sixty".