253814400 has 288 divisors, whose sum is σ = 1035871200. Its totient is φ = 57968640.

The previous prime is 253814389. The next prime is 253814419. The reversal of 253814400 is 4418352.

253814400 is a `hidden beast` number, since 253 + 8 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200971 + ... + 202229.

It is an arithmetic number, because the mean of its divisors is an integer number (3596775).

Almost surely, 2^253814400 is an apocalyptic number.

253814400 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 253814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517935600).

253814400 is an abundant number, since it is smaller than the sum of its proper divisors (782056800).

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

253814400 is a wasteful number, since it uses less digits than its factorization.

253814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 253814400 is about 15931.5535965580. The cubic root of 253814400 is about 633.1482623294.

The spelling of 253814400 in words is "two hundred fifty-three million, eight hundred fourteen thousand, four hundred".