558328680 has 768 divisors, whose sum is σ = 2529792000. Its totient is φ = 106748928.

The previous prime is 558328649. The next prime is 558328711. The reversal of 558328680 is 86823855.

It is a happy number.

558328680 is a `hidden beast` number, since 5 + 583 + 2 + 8 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (558328649) and next prime (558328711).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24275149 + ... + 24275171.

It is an arithmetic number, because the mean of its divisors is an integer number (3294000).

Almost surely, 2^558328680 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 558328680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264896000).

558328680 is an abundant number, since it is smaller than the sum of its proper divisors (1971463320).

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

558328680 is a wasteful number, since it uses less digits than its factorization.

558328680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 558328680 is about 23628.9796648099. The cubic root of 558328680 is about 823.4362444462.

The spelling of 558328680 in words is "five hundred fifty-eight million, three hundred twenty-eight thousand, six hundred eighty".