557920000 has 180 divisors, whose sum is σ = 1522931256. Its totient is φ = 202240000.

The previous prime is 557919979. The next prime is 557920001. The reversal of 557920000 is 29755.

It is a super-2 number, since 2×557920000² = 622549452800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557920001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1759842 + ... + 1760158.

Almost surely, 2^557920000 is an apocalyptic number.

557920000 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 557920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761465628).

557920000 is an abundant number, since it is smaller than the sum of its proper divisors (965011256).

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

557920000 is an equidigital number, since it uses as much as digits as its factorization.

557920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 557920000 is about 23620.3302263114. The cubic root of 557920000 is about 823.2352851201.

Adding to 557920000 its reverse (29755), we get a palindrome (557949755).

The spelling of 557920000 in words is "five hundred fifty-seven million, nine hundred twenty thousand".