560428416 has 128 divisors (see below), whose sum is σ = 1707724800. Its totient is φ = 180748800.

The previous prime is 560428403. The next prime is 560428481. The reversal of 560428416 is 614824065.

560428416 is a `hidden beast` number, since 5 + 604 + 2 + 8 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 104521 + ... + 109751.

It is an arithmetic number, because the mean of its divisors is an integer number (13341600).

Almost surely, 2^560428416 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 560428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853862400).

560428416 is an abundant number, since it is smaller than the sum of its proper divisors (1147296384).

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

560428416 is a wasteful number, since it uses less digits than its factorization.

560428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 560428416 is about 23673.3693419420. The cubic root of 560428416 is about 824.4671997835.

The spelling of 560428416 in words is "five hundred sixty million, four hundred twenty-eight thousand, four hundred sixteen".