252007320 has 256 divisors, whose sum is σ = 862202880. Its totient is φ = 58572800.

The previous prime is 252007313. The next prime is 252007321. The reversal of 252007320 is 23700252.

252007320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252007321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1923655 + ... + 1923785.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2^252007320 is an apocalyptic number.

252007320 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 252007320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431101440).

252007320 is an abundant number, since it is smaller than the sum of its proper divisors (610195560).

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

252007320 is a wasteful number, since it uses less digits than its factorization.

252007320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 252007320 is about 15874.7384230418. The cubic root of 252007320 is about 631.6420755467.

Adding to 252007320 its reverse (23700252), we get a palindrome (275707572).

The spelling of 252007320 in words is "two hundred fifty-two million, seven thousand, three hundred twenty".