558961920 has 324 divisors, whose sum is σ = 2131047828. Its totient is φ = 135168000.

The previous prime is 558961891. The next prime is 558961937. The reversal of 558961920 is 29169855.

558961920 is a `hidden beast` number, since 5 + 5 + 8 + 9 + 619 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424030464 + 134931456 = 20592^2 + 11616^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393720 + ... + 1394120.

Almost surely, 2^558961920 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 558961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065523914).

558961920 is an abundant number, since it is smaller than the sum of its proper divisors (1572085908).

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

558961920 is a wasteful number, since it uses less digits than its factorization.

558961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 558961920 is about 23642.3755151634. The cubic root of 558961920 is about 823.7474325683.

The spelling of 558961920 in words is "five hundred fifty-eight million, nine hundred sixty-one thousand, nine hundred twenty".