253948800 has 192 divisors, whose sum is σ = 956188800. Its totient is φ = 58030080.

The previous prime is 253948789. The next prime is 253948829. The reversal of 253948800 is 8849352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65311 + ... + 69089.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^253948800 is an apocalyptic number.

253948800 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 253948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400).

253948800 is an abundant number, since it is smaller than the sum of its proper divisors (702240000).

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

253948800 is a wasteful number, since it uses less digits than its factorization.

253948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 253948800 is about 15935.7710826932. The cubic root of 253948800 is about 633.2599976643.

The spelling of 253948800 in words is "two hundred fifty-three million, nine hundred forty-eight thousand, eight hundred".