253319400 has 240 divisors, whose sum is σ = 927247200. Its totient is φ = 63918720.

The previous prime is 253319393. The next prime is 253319411. The reversal of 253319400 is 4913352.

253319400 is a `hidden beast` number, since 253 + 3 + 1 + 9 + 400 = 666.

253319400 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 307389 + ... + 308211.

It is an arithmetic number, because the mean of its divisors is an integer number (3863530).

Almost surely, 2^253319400 is an apocalyptic number.

253319400 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 253319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463623600).

253319400 is an abundant number, since it is smaller than the sum of its proper divisors (673927800).

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

253319400 is a wasteful number, since it uses less digits than its factorization.

253319400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 253319400 is about 15916.0108067317. The cubic root of 253319400 is about 632.7363966093.

The spelling of 253319400 in words is "two hundred fifty-three million, three hundred nineteen thousand, four hundred".