509485 has 16 divisors (see below), whose sum is σ = 668160. Its totient is φ = 371520.

The previous prime is 509477. The next prime is 509513. The reversal of 509485 is 584905.

It is not a de Polignac number, because 509485 - 2³ = 509477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

509485 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2859 + ... + 3031.

It is an arithmetic number, because the mean of its divisors is an integer number (41760).

2⁵⁰⁹⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

509485 is a deficient number, since it is larger than the sum of its proper divisors (158675).

509485 is a wasteful number, since it uses less digits than its factorization.

509485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 509485 is about 713.7821796599. The cubic root of 509485 is about 79.8687953511.

The spelling of 509485 in words is "five hundred nine thousand, four hundred eighty-five".