558040320 has 288 divisors, whose sum is σ = 2018163840. Its totient is φ = 145981440.

The previous prime is 558040309. The next prime is 558040363. The reversal of 558040320 is 23040855.

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

It is a super-2 number, since 2×558040320² = 622817997491404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315400 + ... + 2315640.

Almost surely, 2^558040320 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 558040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009081920).

558040320 is an abundant number, since it is smaller than the sum of its proper divisors (1460123520).

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

558040320 is a wasteful number, since it uses less digits than its factorization.

558040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 558040320 is about 23622.8770474724. The cubic root of 558040320 is about 823.2944600018.

The spelling of 558040320 in words is "five hundred fifty-eight million, forty thousand, three hundred twenty".