252068352 has 80 divisors (see below), whose sum is σ = 674852640. Its totient is φ = 83607552.

The previous prime is 252068351. The next prime is 252068359. The reversal of 252068352 is 253860252.

It is not an unprimeable number, because it can be changed into a prime (252068351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581928 + ... + 582360.

It is an arithmetic number, because the mean of its divisors is an integer number (8435658).

Almost surely, 2^252068352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337426320).

252068352 is an abundant number, since it is smaller than the sum of its proper divisors (422784288).

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

252068352 is an equidigital number, since it uses as much as digits as its factorization.

252068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 252068352 is about 15876.6606060594. The cubic root of 252068352 is about 631.6930625147.

The spelling of 252068352 in words is "two hundred fifty-two million, sixty-eight thousand, three hundred fifty-two".