252795600 has 240 divisors, whose sum is σ = 913334400. Its totient is φ = 66401280.

The previous prime is 252795541. The next prime is 252795601. The reversal of 252795600 is 6597252.

252795600 is a `hidden beast` number, since 25 + 2 + 79 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252795601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 961069 + ... + 961331.

It is an arithmetic number, because the mean of its divisors is an integer number (3805560).

Almost surely, 2^252795600 is an apocalyptic number.

252795600 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 252795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456667200).

252795600 is an abundant number, since it is smaller than the sum of its proper divisors (660538800).

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

252795600 is a wasteful number, since it uses less digits than its factorization.

252795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 252795600 is about 15899.5471633629. The cubic root of 252795600 is about 632.2999831025.

The spelling of 252795600 in words is "two hundred fifty-two million, seven hundred ninety-five thousand, six hundred".