254040 has 64 divisors (see below), whose sum is σ = 799200. Its totient is φ = 64512.

The previous prime is 254039. The next prime is 254041. The reversal of 254040 is 40452.

254040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254039) and next prime (254041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254040.

It is not an unprimeable number, because it can be changed into a prime (254041) 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, 3444 + ... + 3516.

2²⁵⁴⁰⁴⁰ is an apocalyptic number.

254040 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 254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399600).

254040 is an abundant number, since it is smaller than the sum of its proper divisors (545160).

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

254040 is a wasteful number, since it uses less digits than its factorization.

254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 254040 is about 504.0238089614. The cubic root of 254040 is about 63.3335795620. Note that the first 3 decimals are identical.

Adding to 254040 its reverse (40452), we get a palindrome (294492).

The spelling of 254040 in words is "two hundred fifty-four thousand, forty".