252441424 has 40 divisors (see below), whose sum is σ = 500219720. Its totient is φ = 123379200.

The previous prime is 252441421. The next prime is 252441437. The reversal of 252441424 is 424144252.

It can be written as a sum of positive squares in 4 ways, for example, as 60341824 + 192099600 = 7768^2 + 13860^2 .

It is a super-2 number, since 2×252441424² = 127453345102295552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252441392 and 252441401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252441421) 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, 175942 + ... + 177370.

It is an arithmetic number, because the mean of its divisors is an integer number (12505493).

Almost surely, 2^252441424 is an apocalyptic number.

It is an amenable number.

252441424 is a deficient number, since it is larger than the sum of its proper divisors (247778296).

252441424 is a wasteful number, since it uses less digits than its factorization.

252441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its digits is 10240, while the sum is 28.

The square root of 252441424 is about 15888.4053321911. The cubic root of 252441424 is about 632.0045531905.

Adding to 252441424 its reverse (424144252), we get a palindrome (676585676).

The spelling of 252441424 in words is "two hundred fifty-two million, four hundred forty-one thousand, four hundred twenty-four".