560944800 has 324 divisors, whose sum is σ = 2146538394. Its totient is φ = 137779200.

The previous prime is 560944799. The next prime is 560944807. The reversal of 560944800 is 8449065.

560944800 is a `hidden beast` number, since 5 + 609 + 4 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 29550096 + 531394704 = 5436^2 + 23052^2 .

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

It is not an unprimeable number, because it can be changed into a prime (560944807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216570 + ... + 1217030.

Almost surely, 2^560944800 is an apocalyptic number.

560944800 is a gapful number since it is divisible by the number (50) 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 560944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073269197).

560944800 is an abundant number, since it is smaller than the sum of its proper divisors (1585593594).

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

560944800 is a wasteful number, since it uses less digits than its factorization.

560944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 560944800 is about 23684.2732630748. The cubic root of 560944800 is about 824.7203459865.

The spelling of 560944800 in words is "five hundred sixty million, nine hundred forty-four thousand, eight hundred".