559294560 has 576 divisors, whose sum is σ = 2309658624. Its totient is φ = 121651200.

The previous prime is 559294513. The next prime is 559294573. The reversal of 559294560 is 65492955.

It is a happy number.

559294560 is a `hidden beast` number, since 5 + 592 + 9 + 4 + 56 + 0 = 666.

559294560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 8347647 + ... + 8347713.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2^559294560 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 559294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154829312).

559294560 is an abundant number, since it is smaller than the sum of its proper divisors (1750364064).

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

559294560 is a wasteful number, since it uses less digits than its factorization.

559294560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 559294560 is about 23649.4092949486. The cubic root of 559294560 is about 823.9108050624.

The spelling of 559294560 in words is "five hundred fifty-nine million, two hundred ninety-four thousand, five hundred sixty".