252835200 has 144 divisors (see below), whose sum is σ = 902276700. Its totient is φ = 67415040.

The previous prime is 252835199. The next prime is 252835213. The reversal of 252835200 is 2538252.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 24411 + ... + 33189.

Almost surely, 2^252835200 is an apocalyptic number.

252835200 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 252835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451138350).

252835200 is an abundant number, since it is smaller than the sum of its proper divisors (649441500).

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

252835200 is a wasteful number, since it uses less digits than its factorization.

252835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8809 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252835200 is about 15900.7924330833. The cubic root of 252835200 is about 632.3329976170.

The spelling of 252835200 in words is "two hundred fifty-two million, eight hundred thirty-five thousand, two hundred".