559258880 has 54 divisors (see below), whose sum is σ = 1341629478. Its totient is φ = 223365120.

The previous prime is 559258867. The next prime is 559258883. The reversal of 559258880 is 88852955.

It can be written as a sum of positive squares in 3 ways, for example, as 197346304 + 361912576 = 14048^2 + 19024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559258883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 845750 + ... + 846410.

Almost surely, 2^559258880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670814739).

559258880 is an abundant number, since it is smaller than the sum of its proper divisors (782370598).

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

559258880 is an frugal number, since it uses more digits than its factorization.

559258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 50.

The square root of 559258880 is about 23648.6549300378. The cubic root of 559258880 is about 823.8932843230.

Multiplying 559258880 by its product of nonzero digits (1152000), we get a square (644266229760000 = 25382400²).

The spelling of 559258880 in words is "five hundred fifty-nine million, two hundred fifty-eight thousand, eight hundred eighty".