558724320 has 288 divisors, whose sum is σ = 2377589760. Its totient is φ = 116075520.

The previous prime is 558724291. The next prime is 558724321. The reversal of 558724320 is 23427855.

558724320 is a `hidden beast` number, since 558 + 72 + 4 + 32 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558724321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108361 + ... + 113399.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^558724320 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 558724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880).

558724320 is an abundant number, since it is smaller than the sum of its proper divisors (1818865440).

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

558724320 is a wasteful number, since it uses less digits than its factorization.

558724320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 558724320 is about 23637.3501052889. The cubic root of 558724320 is about 823.6306982425.

The spelling of 558724320 in words is "five hundred fifty-eight million, seven hundred twenty-four thousand, three hundred twenty".