559598400 has 126 divisors (see below), whose sum is σ = 1988996022. Its totient is φ = 149222400.

The previous prime is 559598371. The next prime is 559598411. The reversal of 559598400 is 4895955.

559598400 is a `hidden beast` number, since 5 + 59 + 598 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 112529664 + 447068736 = 10608^2 + 21144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5031 + ... + 33830.

Almost surely, 2^559598400 is an apocalyptic number.

559598400 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 559598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994498011).

559598400 is an abundant number, since it is smaller than the sum of its proper divisors (1429397622).

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

559598400 is a wasteful number, since it uses less digits than its factorization.

559598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38889 (or 38871 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 559598400 is about 23655.8322618334. The cubic root of 559598400 is about 824.0599761541.

The spelling of 559598400 in words is "five hundred fifty-nine million, five hundred ninety-eight thousand, four hundred".