257200 has 30 divisors (see below), whose sum is σ = 618884. Its totient is φ = 102720.

The previous prime is 257189. The next prime is 257219. The reversal of 257200 is 2752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79 + ... + 721.

2²⁵⁷²⁰⁰ is an apocalyptic number.

257200 is a gapful number since it is divisible by the number (20) 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 257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309442).

257200 is an abundant number, since it is smaller than the sum of its proper divisors (361684).

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

257200 is a wasteful number, since it uses less digits than its factorization.

257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 257200 is about 507.1488933242. The cubic root of 257200 is about 63.5951000273.

Adding to 257200 its reverse (2752), we get a palindrome (259952).

It can be divided in two parts, 25 and 7200, that added together give a square (7225 = 85²).

The spelling of 257200 in words is "two hundred fifty-seven thousand, two hundred".