254320 has 60 divisors (see below), whose sum is σ = 685224. Its totient is φ = 87040.

The previous prime is 254299. The next prime is 254329. The reversal of 254320 is 23452.

254320 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 254294 and 254303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14952 + ... + 14968.

2²⁵⁴³²⁰ is an apocalyptic number.

254320 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 254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342612).

254320 is an abundant number, since it is smaller than the sum of its proper divisors (430904).

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

254320 is a wasteful number, since it uses less digits than its factorization.

254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 254320 is about 504.3014971225. The cubic root of 254320 is about 63.3568395356.

Adding to 254320 its reverse (23452), we get a palindrome (277772).

The spelling of 254320 in words is "two hundred fifty-four thousand, three hundred twenty".