509243040 has 72 divisors (see below), whose sum is σ = 1737796788. Its totient is φ = 135797760.

The previous prime is 509243039. The next prime is 509243047. The reversal of 509243040 is 40342905.

It can be written as a sum of positive squares in 2 ways, for example, as 407878416 + 101364624 = 20196^2 + 10068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 509242995 and 509243013.

It is not an unprimeable number, because it can be changed into a prime (509243047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175381 + ... + 178260.

Almost surely, 2^509243040 is an apocalyptic number.

It is an amenable number.

509243040 is an abundant number, since it is smaller than the sum of its proper divisors (1228553748).

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

509243040 is a wasteful number, since it uses less digits than its factorization.

509243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353662 (or 353651 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 509243040 is about 22566.4139818448. The cubic root of 509243040 is about 798.5614982747.

Adding to 509243040 its reverse (40342905), we get a palindrome (549585945).

The spelling of 509243040 in words is "five hundred nine million, two hundred forty-three thousand, forty".