253423200 has 144 divisors (see below), whose sum is σ = 860944896. Its totient is φ = 64627200.

The previous prime is 253423151. The next prime is 253423213. The reversal of 253423200 is 2324352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52905 + ... + 57495.

It is an arithmetic number, because the mean of its divisors is an integer number (5978784).

Almost surely, 2^253423200 is an apocalyptic number.

253423200 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 253423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430472448).

253423200 is an abundant number, since it is smaller than the sum of its proper divisors (607521696).

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

253423200 is a wasteful number, since it uses less digits than its factorization.

253423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 253423200 is about 15919.2713401085. The cubic root of 253423200 is about 632.8228080321.

Adding to 253423200 its reverse (2324352), we get a palindrome (255747552).

The spelling of 253423200 in words is "two hundred fifty-three million, four hundred twenty-three thousand, two hundred".