256980 has 24 divisors (see below), whose sum is σ = 719712. Its totient is φ = 68512.

The previous prime is 256967. The next prime is 256981. The reversal of 256980 is 89652.

It is a super-4 number, since 4×256980⁴ (a number of 23 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256980.

It is not an unprimeable number, because it can be changed into a prime (256981) by changing a digit.

256980 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, 2082 + ... + 2201.

It is an arithmetic number, because the mean of its divisors is an integer number (29988).

2²⁵⁶⁹⁸⁰ is an apocalyptic number.

256980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256980 is an abundant number, since it is smaller than the sum of its proper divisors (462732).

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

256980 is a wasteful number, since it uses less digits than its factorization.

256980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 256980 is about 506.9319480956. The cubic root of 256980 is about 63.5769625039.

The spelling of 256980 in words is "two hundred fifty-six thousand, nine hundred eighty".