559122480 has 160 divisors (see below), whose sum is σ = 2201049600. Its totient is φ = 127795968.

The previous prime is 559122463. The next prime is 559122511. The reversal of 559122480 is 84221955.

559122480 is a `hidden beast` number, since 5 + 59 + 122 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3370 + ... + 33609.

It is an arithmetic number, because the mean of its divisors is an integer number (13756560).

Almost surely, 2^559122480 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 559122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100524800).

559122480 is an abundant number, since it is smaller than the sum of its proper divisors (1641927120).

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

559122480 is a wasteful number, since it uses less digits than its factorization.

559122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37008 (or 36996 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 559122480 is about 23645.7708692273. The cubic root of 559122480 is about 823.8262979443.

The spelling of 559122480 in words is "five hundred fifty-nine million, one hundred twenty-two thousand, four hundred eighty".