558870480 has 480 divisors, whose sum is σ = 2290329600. Its totient is φ = 121927680.

The previous prime is 558870463. The next prime is 558870493. The reversal of 558870480 is 84078855.

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, 7655724 + ... + 7655796.

It is an arithmetic number, because the mean of its divisors is an integer number (4771520).

Almost surely, 2^558870480 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 558870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145164800).

558870480 is an abundant number, since it is smaller than the sum of its proper divisors (1731459120).

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

558870480 is a wasteful number, since it uses less digits than its factorization.

558870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 558870480 is about 23640.4416202405. The cubic root of 558870480 is about 823.7025114563.

The spelling of 558870480 in words is "five hundred fifty-eight million, eight hundred seventy thousand, four hundred eighty".