509540 has 24 divisors (see below), whose sum is σ = 1087800. Its totient is φ = 200448.

The previous prime is 509521. The next prime is 509543. The reversal of 509540 is 45905.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 401956 = 328^2 + 634^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509540.

It is not an unprimeable number, because it can be changed into a prime (509543) 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, 1286 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (45325).

2⁵⁰⁹⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

509540 is an abundant number, since it is smaller than the sum of its proper divisors (578260).

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

509540 is a wasteful number, since it uses less digits than its factorization.

509540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 509540 is about 713.8207057798. The cubic root of 509540 is about 79.8716692503.

The spelling of 509540 in words is "five hundred nine thousand, five hundred forty".