254020 has 24 divisors (see below), whose sum is σ = 575064. Its totient is φ = 93696.

The previous prime is 254003. The next prime is 254021. The reversal of 254020 is 20452.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 217156 = 192^2 + 466^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (254021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (23961).

2²⁵⁴⁰²⁰ is an apocalyptic number.

254020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254020 is an abundant number, since it is smaller than the sum of its proper divisors (321044).

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

254020 is a wasteful number, since it uses less digits than its factorization.

254020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 254020 is about 504.0039682383. The cubic root of 254020 is about 63.3319174814.

Adding to 254020 its reverse (20452), we get a palindrome (274472).

The spelling of 254020 in words is "two hundred fifty-four thousand, twenty".