558009920 has 112 divisors (see below), whose sum is σ = 1477475328. Its totient is φ = 199342080.

The previous prime is 558009911. The next prime is 558009929. The reversal of 558009920 is 29900855.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (558009911) and next prime (558009929).

It is a super-2 number, since 2×558009920² = 622750141636812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (558009929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126797 + ... + 131123.

It is an arithmetic number, because the mean of its divisors is an integer number (13191744).

Almost surely, 2^558009920 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 558009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738737664).

558009920 is an abundant number, since it is smaller than the sum of its proper divisors (919465408).

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

558009920 is a wasteful number, since it uses less digits than its factorization.

558009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 558009920 is about 23622.2335946455. The cubic root of 558009920 is about 823.2795097045.

The spelling of 558009920 in words is "five hundred fifty-eight million, nine thousand, nine hundred twenty".