558796800 has 312 divisors, whose sum is σ = 1974489696. Its totient is φ = 138936320.

The previous prime is 558796781. The next prime is 558796867. The reversal of 558796800 is 8697855.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 558796800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222347 + ... + 5222453.

Almost surely, 2^558796800 is an apocalyptic number.

558796800 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 558796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987244848).

558796800 is an abundant number, since it is smaller than the sum of its proper divisors (1415692896).

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

558796800 is a wasteful number, since it uses less digits than its factorization.

558796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 558796800 is about 23638.8832223521. The cubic root of 558796800 is about 823.6663116149. Note that the first 3 decimals are identical.

The spelling of 558796800 in words is "five hundred fifty-eight million, seven hundred ninety-six thousand, eight hundred".