809483355408 has 640 divisors, whose sum is σ = 2814219878400. Its totient is φ = 194615156736.

The previous prime is 809483355391. The next prime is 809483355481. The reversal of 809483355408 is 804553384908.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230161266 + ... + 230164782.

It is an arithmetic number, because the mean of its divisors is an integer number (4397218560).

Almost surely, 2^809483355408 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 809483355408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407109939200).

809483355408 is an abundant number, since it is smaller than the sum of its proper divisors (2004736522992).

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

809483355408 is a wasteful number, since it uses less digits than its factorization.

809483355408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 809483355408 in words is "eight hundred nine billion, four hundred eighty-three million, three hundred fifty-five thousand, four hundred eight".