560072448 has 288 divisors, whose sum is σ = 1868052480. Its totient is φ = 164229120.

The previous prime is 560072437. The next prime is 560072453. The reversal of 560072448 is 844270065.

560072448 is a `hidden beast` number, since 5 + 600 + 7 + 2 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×560072448² = 627362294017425408, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066553 + ... + 2066823.

Almost surely, 2^560072448 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 560072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934026240).

560072448 is an abundant number, since it is smaller than the sum of its proper divisors (1307980032).

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

560072448 is a wasteful number, since it uses less digits than its factorization.

560072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 560072448 is about 23665.8498262792. The cubic root of 560072448 is about 824.2926035334.

The spelling of 560072448 in words is "five hundred sixty million, seventy-two thousand, four hundred forty-eight".