560289600 has 504 divisors, whose sum is σ = 2226987672. Its totient is φ = 132710400.

The previous prime is 560289593. The next prime is 560289607. The reversal of 560289600 is 6982065.

560289600 is a `hidden beast` number, since 560 + 2 + 8 + 96 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (560289593) and next prime (560289607).

It can be written as a sum of positive squares in 12 ways, for example, as 385415424 + 174874176 = 19632^2 + 13224^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560289607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7675164 + ... + 7675236.

Almost surely, 2^560289600 is an apocalyptic number.

560289600 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 560289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113493836).

560289600 is an abundant number, since it is smaller than the sum of its proper divisors (1666698072).

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

560289600 is a wasteful number, since it uses less digits than its factorization.

560289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 560289600 is about 23670.4372583187. The cubic root of 560289600 is about 824.3991216928.

The spelling of 560289600 in words is "five hundred sixty million, two hundred eighty-nine thousand, six hundred".