558420480 has 200 divisors, whose sum is σ = 2000828412. Its totient is φ = 148856832.

The previous prime is 558420479. The next prime is 558420493. The reversal of 558420480 is 84024855.

558420480 is a `hidden beast` number, since 558 + 4 + 20 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 550934784 + 7485696 = 23472^2 + 2736^2 .

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 19 ways as a sum of consecutive naturals, for example, 206014 + ... + 208706.

Almost surely, 2^558420480 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 558420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000414206).

558420480 is an abundant number, since it is smaller than the sum of its proper divisors (1442407932).

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

558420480 is an equidigital number, since it uses as much as digits as its factorization.

558420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 558420480 is about 23630.9221148901. The cubic root of 558420480 is about 823.4813715714.

The spelling of 558420480 in words is "five hundred fifty-eight million, four hundred twenty thousand, four hundred eighty".