560253456 has 320 divisors, whose sum is σ = 1984000000. Its totient is φ = 150885504.

The previous prime is 560253427. The next prime is 560253457. The reversal of 560253456 is 654352065.

It is a happy number.

560253456 is a `hidden beast` number, since 5 + 602 + 5 + 3 + 45 + 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 560253456.

It is not an unprimeable number, because it can be changed into a prime (560253457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2815245 + ... + 2815443.

It is an arithmetic number, because the mean of its divisors is an integer number (6200000).

Almost surely, 2^560253456 is an apocalyptic number.

560253456 is a gapful number since it is divisible by the number (56) 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 560253456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992000000).

560253456 is an abundant number, since it is smaller than the sum of its proper divisors (1423746544).

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

560253456 is a wasteful number, since it uses less digits than its factorization.

560253456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 560253456 is about 23669.6737620103. The cubic root of 560253456 is about 824.3813941208.

It can be divided in two parts, 560 and 253456, that added together give a square (254016 = 504²).

The spelling of 560253456 in words is "five hundred sixty million, two hundred fifty-three thousand, four hundred fifty-six".