257890 has 32 divisors (see below), whose sum is σ = 517104. Its totient is φ = 92160.

The previous prime is 257879. The next prime is 257893. The reversal of 257890 is 98752.

It can be written as a sum of positive squares in 8 ways, for example, as 134689 + 123201 = 367^2 + 351^2 .

It is not an unprimeable number, because it can be changed into a prime (257893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6270 + ... + 6310.

2²⁵⁷⁸⁹⁰ is an apocalyptic number.

257890 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.

257890 is a wasteful number, since it uses less digits than its factorization.

257890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 257890 is about 507.8287112797. The cubic root of 257890 is about 63.6519188937.

The spelling of 257890 in words is "two hundred fifty-seven thousand, eight hundred ninety".