560617408 has 112 divisors (see below), whose sum is σ = 1240475040. Its totient is φ = 249790464.

The previous prime is 560617403. The next prime is 560617481. The reversal of 560617408 is 804716065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560617403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4961160 + ... + 4961272.

It is an arithmetic number, because the mean of its divisors is an integer number (11075670).

Almost surely, 2^560617408 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 560617408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620237520).

560617408 is an abundant number, since it is smaller than the sum of its proper divisors (679857632).

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

560617408 is a wasteful number, since it uses less digits than its factorization.

560617408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 560617408 is about 23677.3606637226. The cubic root of 560617408 is about 824.5598671005.

The spelling of 560617408 in words is "five hundred sixty million, six hundred seventeen thousand, four hundred eight".