252898200 has 240 divisors, whose sum is σ = 895288680. Its totient is φ = 66147840.

The previous prime is 252898199. The next prime is 252898201. The reversal of 252898200 is 2898252.

252898200 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 (252898199) and next prime (252898201).

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 (252898201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1085284 + ... + 1085516.

Almost surely, 2^252898200 is an apocalyptic number.

252898200 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 252898200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447644340).

252898200 is an abundant number, since it is smaller than the sum of its proper divisors (642390480).

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

252898200 is a wasteful number, since it uses less digits than its factorization.

252898200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 252898200 is about 15902.7733430367. The cubic root of 252898200 is about 632.3855136044.

It can be divided in two parts, 25289 and 8200, that added together give a square (33489 = 183²).

The spelling of 252898200 in words is "two hundred fifty-two million, eight hundred ninety-eight thousand, two hundred".