252240400 has 60 divisors (see below), whose sum is σ = 607555732. Its totient is φ = 100638720.

The previous prime is 252240377. The next prime is 252240421. The reversal of 252240400 is 4042252.

252240400 is nontrivially palindromic in base 7.

252240400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 59474944 + 192765456 = 7712^2 + 13884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268732 + ... + 269668.

Almost surely, 2^252240400 is an apocalyptic number.

252240400 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 252240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303777866).

252240400 is an abundant number, since it is smaller than the sum of its proper divisors (355315332).

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

252240400 is a wasteful number, since it uses less digits than its factorization.

252240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 252240400 is about 15882.0779496891. The cubic root of 252240400 is about 631.8367494814.

Adding to 252240400 its reverse (4042252), we get a palindrome (256282652).

The spelling of 252240400 in words is "two hundred fifty-two million, two hundred forty thousand, four hundred".