253874400 has 288 divisors, whose sum is σ = 909941760. Its totient is φ = 61102080.

The previous prime is 253874377. The next prime is 253874417. The reversal of 253874400 is 4478352.

253874400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2464749 + ... + 2464851.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2^253874400 is an apocalyptic number.

253874400 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 253874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

253874400 is an abundant number, since it is smaller than the sum of its proper divisors (656067360).

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

253874400 is a wasteful number, since it uses less digits than its factorization.

253874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 253874400 is about 15933.4365408094. The cubic root of 253874400 is about 633.1981490480.

The spelling of 253874400 in words is "two hundred fifty-three million, eight hundred seventy-four thousand, four hundred".