558096000 has 512 divisors, whose sum is σ = 2321879040. Its totient is φ = 115200000.

The previous prime is 558095983. The next prime is 558096013. The reversal of 558096000 is 690855.

It is a super-2 number, since 2×558096000² = 622942290432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3695925 + ... + 3696075.

It is an arithmetic number, because the mean of its divisors is an integer number (4534920).

Almost surely, 2^558096000 is an apocalyptic number.

558096000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160939520).

558096000 is an abundant number, since it is smaller than the sum of its proper divisors (1763783040).

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

558096000 is a wasteful number, since it uses less digits than its factorization.

558096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 558096000 is about 23624.0555366770. The cubic root of 558096000 is about 823.3218412437.

The spelling of 558096000 in words is "five hundred fifty-eight million, ninety-six thousand".