559032480 has 144 divisors (see below), whose sum is σ = 1990759680. Its totient is φ = 142585344.

The previous prime is 559032451. The next prime is 559032491. The reversal of 559032480 is 84230955.

559032480 is a `hidden beast` number, since 559 + 0 + 3 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 24681 + ... + 41559.

It is an arithmetic number, because the mean of its divisors is an integer number (13824720).

Almost surely, 2^559032480 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 559032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995379840).

559032480 is an abundant number, since it is smaller than the sum of its proper divisors (1431727200).

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

559032480 is a wasteful number, since it uses less digits than its factorization.

559032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16923 (or 16912 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 559032480 is about 23643.8677039100. The cubic root of 559032480 is about 823.7820927549.

The spelling of 559032480 in words is "five hundred fifty-nine million, thirty-two thousand, four hundred eighty".