253612800 has 648 divisors, whose sum is σ = 1126865376. Its totient is φ = 53084160.

The previous prime is 253612787. The next prime is 253612847. The reversal of 253612800 is 8216352.

253612800 is a `hidden beast` number, since 2 + 536 + 128 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 6854382 + ... + 6854418.

Almost surely, 2^253612800 is an apocalyptic number.

253612800 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 253612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563432688).

253612800 is an abundant number, since it is smaller than the sum of its proper divisors (873252576).

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

253612800 is a wasteful number, since it uses less digits than its factorization.

253612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253612800 is about 15925.2252731319. The cubic root of 253612800 is about 632.9805853453.

The spelling of 253612800 in words is "two hundred fifty-three million, six hundred twelve thousand, eight hundred".