252712320 has 128 divisors (see below), whose sum is σ = 920643840. Its totient is φ = 57759744.

The previous prime is 252712307. The next prime is 252712337. The reversal of 252712320 is 23217252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4039 + ... + 22841.

It is an arithmetic number, because the mean of its divisors is an integer number (7192530).

Almost surely, 2^252712320 is an apocalyptic number.

252712320 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 252712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460321920).

252712320 is an abundant number, since it is smaller than the sum of its proper divisors (667931520).

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

252712320 is a wasteful number, since it uses less digits than its factorization.

252712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18832 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 252712320 is about 15896.9280051210. The cubic root of 252712320 is about 632.2305413267.

Adding to 252712320 its reverse (23217252), we get a palindrome (275929572).

The spelling of 252712320 in words is "two hundred fifty-two million, seven hundred twelve thousand, three hundred twenty".