509427 has 18 divisors (see below), whose sum is σ = 776412. Its totient is φ = 321816.

The previous prime is 509417. The next prime is 509429. The reversal of 509427 is 724905.

It is not a de Polignac number, because 509427 - 2⁶ = 509363 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509427.

It is not an unprimeable number, because it can be changed into a prime (509429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4708 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (43134).

2⁵⁰⁹⁴²⁷ is an apocalyptic number.

509427 is a deficient number, since it is larger than the sum of its proper divisors (266985).

509427 is a wasteful number, since it uses less digits than its factorization.

509427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 509427 is about 713.7415498624. The cubic root of 509427 is about 79.8657644696.

The spelling of 509427 in words is "five hundred nine thousand, four hundred twenty-seven".