257830 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 91872.

The previous prime is 257797. The next prime is 257837. The reversal of 257830 is 38752.

257830 = T₂₄ + T₂₅ + ... + T₁₁₅.

It is a junction number, because it is equal to n+sod(n) for n = 257795 and 257804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257837) by changing a digit.

257830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4341 + ... + 4399.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²⁵⁷⁸³⁰ is an apocalyptic number.

257830 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

257830 is a wasteful number, since it uses less digits than its factorization.

257830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 257830 is about 507.7696328061. The cubic root of 257830 is about 63.6469821489.

The spelling of 257830 in words is "two hundred fifty-seven thousand, eight hundred thirty".