253996800 has 108 divisors (see below), whose sum is σ = 838305720. Its totient is φ = 67727360.

The previous prime is 253996759. The next prime is 253996811. The reversal of 253996800 is 8699352.

It is a super-3 number, since 3×253996800³ (a number of 26 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 12586 + ... + 25814.

It is an arithmetic number, because the mean of its divisors is an integer number (7762090).

Almost surely, 2^253996800 is an apocalyptic number.

253996800 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 253996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419152860).

253996800 is an abundant number, since it is smaller than the sum of its proper divisors (584308920).

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

253996800 is a wasteful number, since it uses less digits than its factorization.

253996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13258 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 253996800 is about 15937.2770572642. The cubic root of 253996800 is about 633.2998935868.

The spelling of 253996800 in words is "two hundred fifty-three million, nine hundred ninety-six thousand, eight hundred".