253036800 has 324 divisors, whose sum is σ = 948939264. Its totient is φ = 64204800.

The previous prime is 253036793. The next prime is 253036807. The reversal of 253036800 is 8630352.

253036800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253036793) and next prime (253036807).

It is not an unprimeable number, because it can be changed into a prime (253036807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324705 + ... + 1324895.

Almost surely, 2^253036800 is an apocalyptic number.

253036800 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 253036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474469632).

253036800 is an abundant number, since it is smaller than the sum of its proper divisors (695902464).

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

253036800 is a wasteful number, since it uses less digits than its factorization.

253036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253036800 is about 15907.1304766133. The cubic root of 253036800 is about 632.5010180844.

The spelling of 253036800 in words is "two hundred fifty-three million, thirty-six thousand, eight hundred".