809474688 has 256 divisors, whose sum is σ = 2643840000. Its totient is φ = 241781760.

The previous prime is 809474639. The next prime is 809474693. The reversal of 809474688 is 886474908.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 4067613 + ... + 4067811.

It is an arithmetic number, because the mean of its divisors is an integer number (10327500).

Almost surely, 2^809474688 is an apocalyptic number.

809474688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920000).

809474688 is an abundant number, since it is smaller than the sum of its proper divisors (1834365312).

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

809474688 is a wasteful number, since it uses less digits than its factorization.

809474688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 809474688 is about 28451.2686536119. The cubic root of 809474688 is about 931.9681938221.

The spelling of 809474688 in words is "eight hundred nine million, four hundred seventy-four thousand, six hundred eighty-eight".