252442400 has 144 divisors (see below), whose sum is σ = 716829120. Its totient is φ = 85017600.

The previous prime is 252442381. The next prime is 252442427. The reversal of 252442400 is 4244252.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341231 + ... + 341969.

It is an arithmetic number, because the mean of its divisors is an integer number (4977980).

Almost surely, 2^252442400 is an apocalyptic number.

252442400 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 252442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358414560).

252442400 is an abundant number, since it is smaller than the sum of its proper divisors (464386720).

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

252442400 is a wasteful number, since it uses less digits than its factorization.

252442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 252442400 is about 15888.4360463829. The cubic root of 252442400 is about 632.0053676839.

Adding to 252442400 its reverse (4244252), we get a palindrome (256686652).

The spelling of 252442400 in words is "two hundred fifty-two million, four hundred forty-two thousand, four hundred".