559417104 has 135 divisors (see below), whose sum is σ = 1648298613. Its totient is φ = 183917952.

The previous prime is 559417069. The next prime is 559417121. The reversal of 559417104 is 401714955.

The square root of 559417104 is 23652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 317552400 + 241864704 = 17820^2 + 15552^2 .

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 26 ways as a sum of consecutive naturals, for example, 7663212 + ... + 7663284.

Almost surely, 2^559417104 is an apocalyptic number.

559417104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

559417104 is the 23652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559417104

559417104 is an abundant number, since it is smaller than the sum of its proper divisors (1088881509).

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

559417104 is an frugal number, since it uses more digits than its factorization.

559417104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The cubic root of 559417104 is about 823.9709748786.

Multiplying 559417104 by its sum of digits (36), we get a square (20139015744 = 141912²).

559417104 divided by its sum of digits (36) gives a square (15539364 = 3942²).

The spelling of 559417104 in words is "five hundred fifty-nine million, four hundred seventeen thousand, one hundred four".