809437944 has 64 divisors (see below), whose sum is σ = 2320128000. Its totient is φ = 230523264.

The previous prime is 809437939. The next prime is 809437957. The reversal of 809437944 is 449734908.

809437944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 809437893 and 809437902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45657 + ... + 60855.

It is an arithmetic number, because the mean of its divisors is an integer number (36252000).

Almost surely, 2^809437944 is an apocalyptic number.

809437944 is a gapful number since it is divisible by the number (84) 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 809437944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160064000).

809437944 is an abundant number, since it is smaller than the sum of its proper divisors (1510690056).

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

809437944 is a wasteful number, since it uses less digits than its factorization.

809437944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15532 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 809437944 is about 28450.6229105797. The cubic root of 809437944 is about 931.9540921839.

The spelling of 809437944 in words is "eight hundred nine million, four hundred thirty-seven thousand, nine hundred forty-four".