838412304 has 160 divisors (see below), whose sum is σ = 2313780480. Its totient is φ = 261273600.

The previous prime is 838412291. The next prime is 838412327. The reversal of 838412304 is 403214838.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7691802 + ... + 7691910.

It is an arithmetic number, because the mean of its divisors is an integer number (14461128).

Almost surely, 2^838412304 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 838412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156890240).

838412304 is an abundant number, since it is smaller than the sum of its proper divisors (1475368176).

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

838412304 is a wasteful number, since it uses less digits than its factorization.

838412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 838412304 is about 28955.3501791983. The cubic root of 838412304 is about 942.9439557478.

The spelling of 838412304 in words is "eight hundred thirty-eight million, four hundred twelve thousand, three hundred four".