557630600 has 96 divisors (see below), whose sum is σ = 1379543400. Its totient is φ = 208896000.

The previous prime is 557630597. The next prime is 557630641. The reversal of 557630600 is 6036755.

It can be written as a sum of positive squares in 12 ways, for example, as 387223684 + 170406916 = 19678^2 + 13054^2 .

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 23 ways as a sum of consecutive naturals, for example, 1363196 + ... + 1363604.

Almost surely, 2^557630600 is an apocalyptic number.

557630600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

557630600 is the 13634-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557630600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689771700).

557630600 is an abundant number, since it is smaller than the sum of its proper divisors (821912800).

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

557630600 is a wasteful number, since it uses less digits than its factorization.

557630600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 557630600 is about 23614.2033530670. The cubic root of 557630600 is about 823.0929197291.

The spelling of 557630600 in words is "five hundred fifty-seven million, six hundred thirty thousand, six hundred".