252828160 has 160 divisors (see below), whose sum is σ = 668207232. Its totient is φ = 91176960.

The previous prime is 252828143. The next prime is 252828161. The reversal of 252828160 is 61828252.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (252828161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2362827 + ... + 2362933.

Almost surely, 2^252828160 is an apocalyptic number.

252828160 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 252828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334103616).

252828160 is an abundant number, since it is smaller than the sum of its proper divisors (415379072).

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

252828160 is a wasteful number, since it uses less digits than its factorization.

252828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 252828160 is about 15900.5710589274. The cubic root of 252828160 is about 632.3271286220.

The spelling of 252828160 in words is "two hundred fifty-two million, eight hundred twenty-eight thousand, one hundred sixty".