560390400 has 540 divisors, whose sum is σ = 2208108672. Its totient is φ = 139898880.

The previous prime is 560390357. The next prime is 560390401. The reversal of 560390400 is 4093065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560390401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11923177 + ... + 11923223.

Almost surely, 2^560390400 is an apocalyptic number.

560390400 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 560390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104054336).

560390400 is an abundant number, since it is smaller than the sum of its proper divisors (1647718272).

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

560390400 is a wasteful number, since it uses less digits than its factorization.

560390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 560390400 is about 23672.5664007940. The cubic root of 560390400 is about 824.4485571089.

The spelling of 560390400 in words is "five hundred sixty million, three hundred ninety thousand, four hundred".