254560 has 48 divisors (see below), whose sum is σ = 632016. Its totient is φ = 96768.

The previous prime is 254557. The next prime is 254593. The reversal of 254560 is 65452.

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁷ + 5⁷ + 4⁸ + 6 + 0 .

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5899 + ... + 5941.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

2²⁵⁴⁵⁶⁰ is an apocalyptic number.

254560 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 254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008).

254560 is an abundant number, since it is smaller than the sum of its proper divisors (377456).

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

254560 is a wasteful number, since it uses less digits than its factorization.

254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 254560 is about 504.5393939030. The cubic root of 254560 is about 63.3767630713.

The spelling of 254560 in words is "two hundred fifty-four thousand, five hundred sixty".