560399400 has 432 divisors, whose sum is σ = 2161111680. Its totient is φ = 129888000.

The previous prime is 560399383. The next prime is 560399461. The reversal of 560399400 is 4993065.

560399400 is a `hidden beast` number, since 5 + 603 + 9 + 9 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6751759 + ... + 6751841.

Almost surely, 2^560399400 is an apocalyptic number.

560399400 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 560399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080555840).

560399400 is an abundant number, since it is smaller than the sum of its proper divisors (1600712280).

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

560399400 is a wasteful number, since it uses less digits than its factorization.

560399400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 560399400 is about 23672.7564934885. The cubic root of 560399400 is about 824.4529706971.

The spelling of 560399400 in words is "five hundred sixty million, three hundred ninety-nine thousand, four hundred".