252252960 has 192 divisors, whose sum is σ = 843187968. Its totient is φ = 63258624.

The previous prime is 252252947. The next prime is 252252961. The reversal of 252252960 is 69252252.

It is not an unprimeable number, because it can be changed into a prime (252252961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805764 + ... + 806076.

It is an arithmetic number, because the mean of its divisors is an integer number (4391604).

Almost surely, 2^252252960 is an apocalyptic number.

252252960 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 252252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421593984).

252252960 is an abundant number, since it is smaller than the sum of its proper divisors (590935008).

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

252252960 is a wasteful number, since it uses less digits than its factorization.

252252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 252252960 is about 15882.4733590206. The cubic root of 252252960 is about 631.8472364849.

The spelling of 252252960 in words is "two hundred fifty-two million, two hundred fifty-two thousand, nine hundred sixty".