254916 has 36 divisors (see below), whose sum is σ = 659932. Its totient is φ = 82944.

The previous prime is 254911. The next prime is 254927. The reversal of 254916 is 619452.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 125316 = 360^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (2160) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 254916.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254916.

It is not an unprimeable number, because it can be changed into a prime (254911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2580 + ... + 2676.

2²⁵⁴⁹¹⁶ 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 254916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329966).

254916 is an abundant number, since it is smaller than the sum of its proper divisors (405016).

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

254916 is a wasteful number, since it uses less digits than its factorization.

254916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 254916 is about 504.8920676739. The cubic root of 254916 is about 63.4062932648.

The spelling of 254916 in words is "two hundred fifty-four thousand, nine hundred sixteen".