257320 has 32 divisors (see below), whose sum is σ = 662400. Its totient is φ = 88128.

The previous prime is 257311. The next prime is 257321. The reversal of 257320 is 23752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (257321) by changing a digit.

257320 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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2²⁵⁷³²⁰ is an apocalyptic number.

257320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257320 is an abundant number, since it is smaller than the sum of its proper divisors (405080).

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

257320 is a wasteful number, since it uses less digits than its factorization.

257320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 257320 is about 507.2671879789. The cubic root of 257320 is about 63.6049888628.

The spelling of 257320 in words is "two hundred fifty-seven thousand, three hundred twenty".