252595800 has 192 divisors, whose sum is σ = 900612000. Its totient is φ = 64995840.

The previous prime is 252595799. The next prime is 252595853. The reversal of 252595800 is 8595252.

252595800 is a `hidden beast` number, since 25 + 2 + 59 + 580 + 0 = 666.

252595800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155794 + ... + 157406.

Almost surely, 2^252595800 is an apocalyptic number.

252595800 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 252595800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450306000).

252595800 is an abundant number, since it is smaller than the sum of its proper divisors (648016200).

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

252595800 is a wasteful number, since it uses less digits than its factorization.

252595800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 252595800 is about 15893.2627235568. The cubic root of 252595800 is about 632.1333572668.

The spelling of 252595800 in words is "two hundred fifty-two million, five hundred ninety-five thousand, eight hundred".