254540 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 84480.

The previous prime is 254537. The next prime is 254557. The reversal of 254540 is 45452.

254540 = 61² + 62² + ... + 99².

It is a happy number.

254540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254540² = 129581223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²⁵⁴⁵⁴⁰ is an apocalyptic number.

254540 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 254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

254540 is an abundant number, since it is smaller than the sum of its proper divisors (380500).

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

254540 is a wasteful number, since it uses less digits than its factorization.

254540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 254540 is about 504.5195734558. The cubic root of 254540 is about 63.3751032551.

Adding to 254540 its reverse (45452), we get a palindrome (299992).

The spelling of 254540 in words is "two hundred fifty-four thousand, five hundred forty".