838315296 has 288 divisors, whose sum is σ = 3038031360. Its totient is φ = 213276672.

The previous prime is 838315277. The next prime is 838315319. The reversal of 838315296 is 692513838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759481 + ... + 760583.

It is an arithmetic number, because the mean of its divisors is an integer number (10548720).

Almost surely, 2^838315296 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 838315296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519015680).

838315296 is an abundant number, since it is smaller than the sum of its proper divisors (2199716064).

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

838315296 is a wasteful number, since it uses less digits than its factorization.

838315296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 838315296 is about 28953.6749999029. The cubic root of 838315296 is about 942.9075867541.

The spelling of 838315296 in words is "eight hundred thirty-eight million, three hundred fifteen thousand, two hundred ninety-six".