557987200 has 96 divisors (see below), whose sum is σ = 1390268160. Its totient is φ = 221276160.

The previous prime is 557987161. The next prime is 557987203. The reversal of 557987200 is 2789755.

It is a super-2 number, since 2×557987200² = 622699430727680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557987203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405714 + ... + 407086.

It is an arithmetic number, because the mean of its divisors is an integer number (14481960).

Almost surely, 2^557987200 is an apocalyptic number.

557987200 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 557987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695134080).

557987200 is an abundant number, since it is smaller than the sum of its proper divisors (832280960).

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

557987200 is a wasteful number, since it uses less digits than its factorization.

557987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The square root of 557987200 is about 23621.7526868774. The cubic root of 557987200 is about 823.2683359698.

The spelling of 557987200 in words is "five hundred fifty-seven million, nine hundred eighty-seven thousand, two hundred".