560640456 has 192 divisors, whose sum is σ = 1670123520. Its totient is φ = 169361280.

The previous prime is 560640449. The next prime is 560640461. The reversal of 560640456 is 654046065.

It is a happy number.

560640456 is a `hidden beast` number, since 5 + 6 + 0 + 640 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 560640456.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3439431 + ... + 3439593.

It is an arithmetic number, because the mean of its divisors is an integer number (8698560).

Almost surely, 2^560640456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560640456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835061760).

560640456 is an abundant number, since it is smaller than the sum of its proper divisors (1109483064).

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

560640456 is a wasteful number, since it uses less digits than its factorization.

560640456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 560640456 is about 23677.8473683737. The cubic root of 560640456 is about 824.5711666636.

The spelling of 560640456 in words is "five hundred sixty million, six hundred forty thousand, four hundred fifty-six".