253845200 has 60 divisors (see below), whose sum is σ = 696994080. Its totient is φ = 87031680.

The previous prime is 253845161. The next prime is 253845203. The reversal of 253845200 is 2548352.

253845200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253845203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42530 + ... + 48129.

It is an arithmetic number, because the mean of its divisors is an integer number (11616568).

Almost surely, 2^253845200 is an apocalyptic number.

253845200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253845200 is an abundant number, since it is smaller than the sum of its proper divisors (443148880).

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

253845200 is a wasteful number, since it uses less digits than its factorization.

253845200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90684 (or 90673 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 253845200 is about 15932.5202024036. The cubic root of 253845200 is about 633.1738718269.

The spelling of 253845200 in words is "two hundred fifty-three million, eight hundred forty-five thousand, two hundred".