254520 has 96 divisors (see below), whose sum is σ = 954720. Its totient is φ = 57600.

The previous prime is 254519. The next prime is 254537. The reversal of 254520 is 25452.

254520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 254493 and 254502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2470 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (9945).

2²⁵⁴⁵²⁰ is an apocalyptic number.

254520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 504×505.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477360).

254520 is an abundant number, since it is smaller than the sum of its proper divisors (700200).

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

254520 is a wasteful number, since it uses less digits than its factorization.

254520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 254520 is about 504.4997522299. The cubic root of 254520 is about 63.3734433519.

Adding to 254520 its reverse (25452), we get a palindrome (279972).

The spelling of 254520 in words is "two hundred fifty-four thousand, five hundred twenty".