558930240 has 224 divisors, whose sum is σ = 2151400320. Its totient is φ = 135475200.

The previous prime is 558930227. The next prime is 558930269. The reversal of 558930240 is 42039855.

558930240 is a `hidden beast` number, since 5 + 589 + 30 + 2 + 40 = 666.

It is a super-3 number, since 3×558930240³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 558930195 and 558930204.

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, 92100 + ... + 97980.

Almost surely, 2^558930240 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 558930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075700160).

558930240 is an abundant number, since it is smaller than the sum of its proper divisors (1592470080).

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

558930240 is a wasteful number, since it uses less digits than its factorization.

558930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5902 counting only the distinct ones).

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

The square root of 558930240 is about 23641.7055222334. The cubic root of 558930240 is about 823.7318699031.

The spelling of 558930240 in words is "five hundred fifty-eight million, nine hundred thirty thousand, two hundred forty".