254976 has 44 divisors (see below), whose sum is σ = 687792. Its totient is φ = 83968.

The previous prime is 254971. The next prime is 254977. The reversal of 254976 is 679452.

It is a nialpdrome in base 4 and base 8.

It is not an unprimeable number, because it can be changed into a prime (254971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3031 + ... + 3113.

254976 is a Friedman number, since it can be written as 4^9-7*(6-2)^5, using all its digits and the basic arithmetic operations.

2²⁵⁴⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343896).

254976 is an abundant number, since it is smaller than the sum of its proper divisors (432816).

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

254976 is an equidigital number, since it uses as much as digits as its factorization.

254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 254976 is about 504.9514828179. The cubic root of 254976 is about 63.4112675559.

The spelling of 254976 in words is "two hundred fifty-four thousand, nine hundred seventy-six".