560901600 has 432 divisors, whose sum is σ = 2339850240. Its totient is φ = 123724800.

The previous prime is 560901563. The next prime is 560901617. The reversal of 560901600 is 6109065.

560901600 is a `hidden beast` number, since 56 + 0 + 9 + 0 + 1 + 600 = 666.

560901600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×560901600⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1562221 + ... + 1562579.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^560901600 is an apocalyptic number.

560901600 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 560901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

560901600 is an abundant number, since it is smaller than the sum of its proper divisors (1778948640).

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

560901600 is a wasteful number, since it uses less digits than its factorization.

560901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 560901600 is about 23683.3612479310. The cubic root of 560901600 is about 824.6991740675.

The spelling of 560901600 in words is "five hundred sixty million, nine hundred one thousand, six hundred".