558385920 has 288 divisors, whose sum is σ = 2013258240. Its totient is φ = 146534400.

The previous prime is 558385913. The next prime is 558385931. The reversal of 558385920 is 29583855.

558385920 is a `hidden beast` number, since 5 + 58 + 3 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3697845 + ... + 3697995.

It is an arithmetic number, because the mean of its divisors is an integer number (6990480).

Almost surely, 2^558385920 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 558385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006629120).

558385920 is an abundant number, since it is smaller than the sum of its proper divisors (1454872320).

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

558385920 is a wasteful number, since it uses less digits than its factorization.

558385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 558385920 is about 23630.1908583067. The cubic root of 558385920 is about 823.4643831166.

The spelling of 558385920 in words is "five hundred fifty-eight million, three hundred eighty-five thousand, nine hundred twenty".