254400 has 84 divisors (see below), whose sum is σ = 850392. Its totient is φ = 66560.

The previous prime is 254389. The next prime is 254407. The reversal of 254400 is 4452.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 254400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254400.

It is not an unprimeable number, because it can be changed into a prime (254407) by changing a digit.

254400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4774 + ... + 4826.

2²⁵⁴⁴⁰⁰ is an apocalyptic number.

254400 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 254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425196).

254400 is an abundant number, since it is smaller than the sum of its proper divisors (595992).

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

254400 is a wasteful number, since it uses less digits than its factorization.

254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 254400 is about 504.3808085167. The cubic root of 254400 is about 63.3634821064.

Adding to 254400 its reverse (4452), we get a palindrome (258852).

The spelling of 254400 in words is "two hundred fifty-four thousand, four hundred".