257850 has 48 divisors (see below), whose sum is σ = 714240. Its totient is φ = 68400.

The previous prime is 257837. The next prime is 257857. The reversal of 257850 is 58752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²⁵⁷⁸⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

257850 is an abundant number, since it is smaller than the sum of its proper divisors (456390).

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

257850 is a wasteful number, since it uses less digits than its factorization.

257850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 257850 is about 507.7893263943. The cubic root of 257850 is about 63.6486278156.

It can be divided in two parts, 2578 and 50, that added together give a triangular number (2628 = T₇₂).

The spelling of 257850 in words is "two hundred fifty-seven thousand, eight hundred fifty".