557825700 has 72 divisors (see below), whose sum is σ = 1636770240. Its totient is φ = 146652800.

The previous prime is 557825699. The next prime is 557825711. The reversal of 557825700 is 7528755.

It is a super-2 number, since 2×557825700² = 622339023160980000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8206 + ... + 34394.

It is an arithmetic number, because the mean of its divisors is an integer number (22732920).

Almost surely, 2^557825700 is an apocalyptic number.

557825700 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 557825700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818385120).

557825700 is an abundant number, since it is smaller than the sum of its proper divisors (1078944540).

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

557825700 is a wasteful number, since it uses less digits than its factorization.

557825700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26277 (or 26270 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The square root of 557825700 is about 23618.3339801943. Note that the first 3 decimals coincide. The cubic root of 557825700 is about 823.1889012529.

The spelling of 557825700 in words is "five hundred fifty-seven million, eight hundred twenty-five thousand, seven hundred".