254242400 has 72 divisors (see below), whose sum is σ = 624178800. Its totient is φ = 101122560.

The previous prime is 254242397. The next prime is 254242403. The reversal of 254242400 is 4242452.

254242400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254242397) and next prime (254242403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254242403) 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, 158402 + ... + 159998.

It is an arithmetic number, because the mean of its divisors is an integer number (8669150).

Almost surely, 2^254242400 is an apocalyptic number.

254242400 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 254242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312089400).

254242400 is an abundant number, since it is smaller than the sum of its proper divisors (369936400).

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

254242400 is a wasteful number, since it uses less digits than its factorization.

254242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 254242400 is about 15944.9804013677. The cubic root of 254242400 is about 633.5039491085.

Adding to 254242400 its reverse (4242452), we get a palindrome (258484852).

The spelling of 254242400 in words is "two hundred fifty-four million, two hundred forty-two thousand, four hundred".