809499456 has 84 divisors (see below), whose sum is σ = 2341005732. Its totient is φ = 267423744.

The previous prime is 809499437. The next prime is 809499473. The reversal of 809499456 is 654994908.

It can be written as a sum of positive squares in 2 ways, for example, as 21013056 + 788486400 = 4584^2 + 28080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58870 + ... + 71306.

Almost surely, 2^809499456 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 809499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170502866).

809499456 is an abundant number, since it is smaller than the sum of its proper divisors (1531506276).

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

809499456 is a wasteful number, since it uses less digits than its factorization.

809499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12568 (or 12555 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 809499456 is about 28451.7039208551. The cubic root of 809499456 is about 931.9776990618.

The spelling of 809499456 in words is "eight hundred nine million, four hundred ninety-nine thousand, four hundred fifty-six".