252327600 has 720 divisors, whose sum is σ = 1151354880. Its totient is φ = 49766400.

The previous prime is 252327599. The next prime is 252327623. The reversal of 252327600 is 6723252.

252327600 is a `hidden beast` number, since 2 + 52 + 3 + 2 + 7 + 600 = 666.

252327600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 8139585 + ... + 8139615.

It is an arithmetic number, because the mean of its divisors is an integer number (1599104).

Almost surely, 2^252327600 is an apocalyptic number.

252327600 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 252327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575677440).

252327600 is an abundant number, since it is smaller than the sum of its proper divisors (899027280).

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

252327600 is a wasteful number, since it uses less digits than its factorization.

252327600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 252327600 is about 15884.8229451889. The cubic root of 252327600 is about 631.9095501599.

The spelling of 252327600 in words is "two hundred fifty-two million, three hundred twenty-seven thousand, six hundred".