254008 has 8 divisors (see below), whose sum is σ = 476280. Its totient is φ = 127000.

The previous prime is 254003. The next prime is 254021. The reversal of 254008 is 800452.

It is a happy number.

254008 is digitally balanced in base 3, because in such base 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 (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15868 + ... + 15883.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

254008 is a Friedman number, since it can be written as 504^(2+0)-8, using all its digits and the basic arithmetic operations.

2²⁵⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

254008 is a deficient number, since it is larger than the sum of its proper divisors (222272).

254008 is a wasteful number, since it uses less digits than its factorization.

254008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31757 (or 31753 counting only the distinct ones).

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

The square root of 254008 is about 503.9920634296. The cubic root of 254008 is about 63.3309201912.

The spelling of 254008 in words is "two hundred fifty-four thousand, eight".