253028800 has 42 divisors (see below), whose sum is σ = 622612928. Its totient is φ = 101210880.

The previous prime is 253028791. The next prime is 253028821. The reversal of 253028800 is 8820352.

253028800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 77472 + ... + 80671.

Almost surely, 2^253028800 is an apocalyptic number.

253028800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253028800 is an abundant number, since it is smaller than the sum of its proper divisors (369584128).

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

253028800 is a wasteful number, since it uses less digits than its factorization.

253028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158165 (or 158150 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 253028800 is about 15906.8790150677. The cubic root of 253028800 is about 632.4943523063.

It can be divided in two parts, 253028 and 800, that added together give a triangular number (253828 = T₇₁₂).

The spelling of 253028800 in words is "two hundred fifty-three million, twenty-eight thousand, eight hundred".