809504 has 24 divisors (see below), whose sum is σ = 1635228. Its totient is φ = 394240.

The previous prime is 809491. The next prime is 809507. The reversal of 809504 is 405908.

It can be written as a sum of positive squares in 2 ways, for example, as 559504 + 250000 = 748^2 + 500^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809504.

It is not an unprimeable number, because it can be changed into a prime (809507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1004 + ... + 1620.

2⁸⁰⁹⁵⁰⁴ 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 809504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817614).

809504 is an abundant number, since it is smaller than the sum of its proper divisors (825724).

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

809504 is a wasteful number, since it uses less digits than its factorization.

809504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 809504 is about 899.7244022477. The cubic root of 809504 is about 93.1979442896.

The spelling of 809504 in words is "eight hundred nine thousand, five hundred four".