809489408 has 264 divisors, whose sum is σ = 2175829992. Its totient is φ = 297271296.

The previous prime is 809489371. The next prime is 809489411. The reversal of 809489408 is 804984908.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110838784 + 698650624 = 10528^2 + 26432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11088860 + ... + 11088932.

Almost surely, 2^809489408 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 809489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087914996).

809489408 is an abundant number, since it is smaller than the sum of its proper divisors (1366340584).

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

809489408 is a wasteful number, since it uses less digits than its factorization.

809489408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 809489408 is about 28451.5273403731. The cubic root of 809489408 is about 931.9738429543.

The spelling of 809489408 in words is "eight hundred nine million, four hundred eighty-nine thousand, four hundred eight".