252803320 has 128 divisors (see below), whose sum is σ = 714355200. Its totient is φ = 78220800.

The previous prime is 252803293. The next prime is 252803329. The reversal of 252803320 is 23308252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252803329) 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, 649686 + ... + 650074.

It is an arithmetic number, because the mean of its divisors is an integer number (5580900).

Almost surely, 2^252803320 is an apocalyptic number.

252803320 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 252803320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357177600).

252803320 is an abundant number, since it is smaller than the sum of its proper divisors (461551880).

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

252803320 is a wasteful number, since it uses less digits than its factorization.

252803320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 252803320 is about 15899.7899357193. The cubic root of 252803320 is about 632.3064195360.

The spelling of 252803320 in words is "two hundred fifty-two million, eight hundred three thousand, three hundred twenty".