509436 has 48 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 164736.

The previous prime is 509429. The next prime is 509441. The reversal of 509436 is 634905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509436.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5680 + ... + 5768.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁵⁰⁹⁴³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

509436 is an abundant number, since it is smaller than the sum of its proper divisors (851364).

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

509436 is a wasteful number, since it uses less digits than its factorization.

509436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 509436 is about 713.7478546378. The cubic root of 509436 is about 79.8662347939.

The spelling of 509436 in words is "five hundred nine thousand, four hundred thirty-six".