254880 has 96 divisors (see below), whose sum is σ = 907200. Its totient is φ = 66816.

The previous prime is 254879. The next prime is 254887. The reversal of 254880 is 88452.

254880 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254887) 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, 4291 + ... + 4349.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2²⁵⁴⁸⁸⁰ is an apocalyptic number.

254880 is a gapful number since it is divisible by the number (20) 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 254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

254880 is an abundant number, since it is smaller than the sum of its proper divisors (652320).

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

254880 is a wasteful number, since it uses less digits than its factorization.

254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 254880 is about 504.8564152311. The cubic root of 254880 is about 63.4033083155.

It can be divided in two parts, 2548 and 80, that added together give a triangular number (2628 = T₇₂).

The spelling of 254880 in words is "two hundred fifty-four thousand, eight hundred eighty".