560252880 has 240 divisors, whose sum is σ = 2072438784. Its totient is φ = 134507520.

The previous prime is 560252879. The next prime is 560252893. The reversal of 560252880 is 88252065.

560252880 is a `hidden beast` number, since 56 + 0 + 2 + 528 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 1005562 + ... + 1006118.

Almost surely, 2^560252880 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 560252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036219392).

560252880 is an abundant number, since it is smaller than the sum of its proper divisors (1512185904).

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

560252880 is a wasteful number, since it uses less digits than its factorization.

560252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 560252880 is about 23669.6615945391. The cubic root of 560252880 is about 824.3811116036.

The spelling of 560252880 in words is "five hundred sixty million, two hundred fifty-two thousand, eight hundred eighty".