252430240 has 24 divisors (see below), whose sum is σ = 596366820. Its totient is φ = 100972032.

The previous prime is 252430223. The next prime is 252430249. The reversal of 252430240 is 42034252.

252430240 is digitally balanced in base 2, 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 2 ways, for example, as 230189584 + 22240656 = 15172^2 + 4716^2 .

It is not an unprimeable number, because it can be changed into a prime (252430249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788685 + ... + 789004.

Almost surely, 2^252430240 is an apocalyptic number.

252430240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252430240 is an abundant number, since it is smaller than the sum of its proper divisors (343936580).

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

252430240 is a wasteful number, since it uses less digits than its factorization.

252430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577704 (or 1577696 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 252430240 is about 15888.0533735257. The cubic root of 252430240 is about 631.9952197470.

Adding to 252430240 its reverse (42034252), we get a palindrome (294464492).

The spelling of 252430240 in words is "two hundred fifty-two million, four hundred thirty thousand, two hundred forty".