254080 has 32 divisors (see below), whose sum is σ = 608940. Its totient is φ = 101376.

The previous prime is 254071. The next prime is 254083. The reversal of 254080 is 80452.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 64 = 504^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (254083) by changing a digit.

It is a nontrivial repunit in base 63.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 442 + ... + 838.

2²⁵⁴⁰⁸⁰ is an apocalyptic number.

254080 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 254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304470).

254080 is an abundant number, since it is smaller than the sum of its proper divisors (354860).

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

254080 is an equidigital number, since it uses as much as digits as its factorization.

254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 254080 is about 504.0634880647. The cubic root of 254080 is about 63.3369034614.

The spelling of 254080 in words is "two hundred fifty-four thousand, eighty".