849083904 has 160 divisors (see below), whose sum is σ = 2661927840. Its totient is φ = 266305536.

The previous prime is 849083897. The next prime is 849083909. The reversal of 849083904 is 409380948.

It is a happy number.

849083904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 849083904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849083909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233202 + ... + 236814.

It is an arithmetic number, because the mean of its divisors is an integer number (16637049).

Almost surely, 2^849083904 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 849083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330963920).

849083904 is an abundant number, since it is smaller than the sum of its proper divisors (1812843936).

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

849083904 is a wasteful number, since it uses less digits than its factorization.

849083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 849083904 is about 29139.0443220089. The cubic root of 849083904 is about 946.9278055836.

The spelling of 849083904 in words is "eight hundred forty-nine million, eighty-three thousand, nine hundred four".