558993240 has 192 divisors, whose sum is σ = 2020112640. Its totient is φ = 133125120.

The previous prime is 558993233. The next prime is 558993251. The reversal of 558993240 is 42399855.

558993240 is a `hidden beast` number, since 558 + 9 + 93 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 143154 + ... + 147006.

It is an arithmetic number, because the mean of its divisors is an integer number (10521420).

Almost surely, 2^558993240 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 558993240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010056320).

558993240 is an abundant number, since it is smaller than the sum of its proper divisors (1461119400).

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

558993240 is a wasteful number, since it uses less digits than its factorization.

558993240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 558993240 is about 23643.0378758737. The cubic root of 558993240 is about 823.7628178070.

The spelling of 558993240 in words is "five hundred fifty-eight million, nine hundred ninety-three thousand, two hundred forty".