838304 has 48 divisors (see below), whose sum is σ = 1850688. Its totient is φ = 371712.

The previous prime is 838249. The next prime is 838349. The reversal of 838304 is 403838.

It is a nialpdrome in base 16.

It is an unprimeable number.

838304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12479 + ... + 12545.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2⁸³⁸³⁰⁴ 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 838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344).

838304 is an abundant number, since it is smaller than the sum of its proper divisors (1012384).

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

838304 is a wasteful number, since it uses less digits than its factorization.

838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 838304 is about 915.5894276366. The cubic root of 838304 is about 94.2903351620.

The spelling of 838304 in words is "eight hundred thirty-eight thousand, three hundred four".