557800 has 24 divisors (see below), whose sum is σ = 1297350. Its totient is φ = 223040.

The previous prime is 557789. The next prime is 557801. The reversal of 557800 is 8755.

It can be written as a sum of positive squares in 3 ways, for example, as 443556 + 114244 = 666^2 + 338^2 .

It is a super-2 number, since 2×557800² = 622281680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (557801) by changing a digit.

557800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1195 + ... + 1594.

2⁵⁵⁷⁸⁰⁰ is an apocalyptic number.

557800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557800 is an abundant number, since it is smaller than the sum of its proper divisors (739550).

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

557800 is a wasteful number, since it uses less digits than its factorization.

557800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 557800 is about 746.8600939935. The cubic root of 557800 is about 82.3176259144.

The spelling of 557800 in words is "five hundred fifty-seven thousand, eight hundred".