558480000 has 320 divisors, whose sum is σ = 2007482400. Its totient is φ = 136704000.

The previous prime is 558479981. The next prime is 558480011. The reversal of 558480000 is 84855.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 558480000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3119911 + ... + 3120089.

Almost surely, 2^558480000 is an apocalyptic number.

558480000 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 558480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003741200).

558480000 is an abundant number, since it is smaller than the sum of its proper divisors (1449002400).

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

558480000 is a wasteful number, since it uses less digits than its factorization.

558480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 558480000 is about 23632.1814481863. The cubic root of 558480000 is about 823.5106278229.

The spelling of 558480000 in words is "five hundred fifty-eight million, four hundred eighty thousand".