252641200 has 120 divisors (see below), whose sum is σ = 724025088. Its totient is φ = 82832640.

The previous prime is 252641197. The next prime is 252641209. The reversal of 252641200 is 2146252.

It is not an unprimeable number, because it can be changed into a prime (252641209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62439 + ... + 66361.

Almost surely, 2^252641200 is an apocalyptic number.

252641200 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 252641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362012544).

252641200 is an abundant number, since it is smaller than the sum of its proper divisors (471383888).

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

252641200 is a wasteful number, since it uses less digits than its factorization.

252641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 252641200 is about 15894.6909375426. The cubic root of 252641200 is about 632.1712269058.

Adding to 252641200 its reverse (2146252), we get a palindrome (254787452).

The spelling of 252641200 in words is "two hundred fifty-two million, six hundred forty-one thousand, two hundred".