253352800 has 36 divisors (see below), whose sum is σ = 618499476. Its totient is φ = 101340800.

The previous prime is 253352789. The next prime is 253352807. The reversal of 253352800 is 8253352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253352807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157546 + ... + 159145.

It is an arithmetic number, because the mean of its divisors is an integer number (17180541).

Almost surely, 2^253352800 is an apocalyptic number.

253352800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253352800 is an abundant number, since it is smaller than the sum of its proper divisors (365146676).

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

253352800 is a wasteful number, since it uses less digits than its factorization.

253352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316711 (or 316698 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 253352800 is about 15917.0600300432. The cubic root of 253352800 is about 632.7642040162.

The spelling of 253352800 in words is "two hundred fifty-three million, three hundred fifty-two thousand, eight hundred".