252320 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 94464.

The previous prime is 252319. The next prime is 252323. The reversal of 252320 is 23252.

252320 = T₁₉ + T₂₀ + ... + T₁₁₄.

252320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252295 and 252304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252323) 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, 2999 + ... + 3081.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²⁵²³²⁰ is an apocalyptic number.

252320 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 252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

252320 is an abundant number, since it is smaller than the sum of its proper divisors (382720).

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

252320 is a wasteful number, since it uses less digits than its factorization.

252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 252320 is about 502.3146424304. The cubic root of 252320 is about 63.1903205814.

Adding to 252320 its reverse (23252), we get a palindrome (275572).

The spelling of 252320 in words is "two hundred fifty-two thousand, three hundred twenty".