456130560 has 168 divisors, whose sum is σ = 1509948720. Its totient is φ = 117440512.

The previous prime is 456130547. The next prime is 456130579. The reversal of 456130560 is 65031654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15728626 + ... + 15728654.

It is an arithmetic number, because the mean of its divisors is an integer number (8987790).

Almost surely, 2^456130560 is an apocalyptic number.

456130560 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 456130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754974360).

456130560 is an abundant number, since it is smaller than the sum of its proper divisors (1053818160).

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

456130560 is an frugal number, since it uses more digits than its factorization.

456130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 456130560 is about 21357.2133013650. The cubic root of 456130560 is about 769.7736783550.

The spelling of 456130560 in words is "four hundred fifty-six million, one hundred thirty thousand, five hundred sixty".