252799200 has 108 divisors (see below), whose sum is σ = 891458568. Its totient is φ = 67411200.

The previous prime is 252799139. The next prime is 252799201. The reversal of 252799200 is 2997252.

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 (252799201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10356 + ... + 24755.

It is an arithmetic number, because the mean of its divisors is an integer number (8254246).

Almost surely, 2^252799200 is an apocalyptic number.

252799200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252799200 is an abundant number, since it is smaller than the sum of its proper divisors (638659368).

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

252799200 is a wasteful number, since it uses less digits than its factorization.

252799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35137 (or 35121 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 252799200 is about 15899.6603737313. The cubic root of 252799200 is about 632.3029845645.

The spelling of 252799200 in words is "two hundred fifty-two million, seven hundred ninety-nine thousand, two hundred".