813949344 has 96 divisors (see below), whose sum is σ = 2556671040. Its totient is φ = 250442496.

The previous prime is 813949267. The next prime is 813949349. The reversal of 813949344 is 443949318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 813949344.

It is not an unprimeable number, because it can be changed into a prime (813949349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25002 + ... + 47465.

It is an arithmetic number, because the mean of its divisors is an integer number (26631990).

Almost surely, 2^813949344 is an apocalyptic number.

It is an amenable number.

813949344 is an abundant number, since it is smaller than the sum of its proper divisors (1742721696).

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

813949344 is a wasteful number, since it uses less digits than its factorization.

813949344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72499 (or 72485 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 813949344 is about 28529.7974756219. The cubic root of 813949344 is about 933.6822998932.

The spelling of 813949344 in words is "eight hundred thirteen million, nine hundred forty-nine thousand, three hundred forty-four".