254968 has 32 divisors (see below), whose sum is σ = 568800. Its totient is φ = 104832.

The previous prime is 254963. The next prime is 254971. The reversal of 254968 is 869452.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254963) by changing a digit.

254968 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, 1546 + ... + 1702.

It is an arithmetic number, because the mean of its divisors is an integer number (17775).

2²⁵⁴⁹⁶⁸ is an apocalyptic number.

254968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284400).

254968 is an abundant number, since it is smaller than the sum of its proper divisors (313832).

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

254968 is a wasteful number, since it uses less digits than its factorization.

254968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 254968 is about 504.9435612026. The cubic root of 254968 is about 63.4106043622.

The spelling of 254968 in words is "two hundred fifty-four thousand, nine hundred sixty-eight".