838942272 has 280 divisors, whose sum is σ = 2896372160. Its totient is φ = 235146240.

The previous prime is 838942261. The next prime is 838942289. The reversal of 838942272 is 272249838.

838942272 is a `hidden beast` number, since 83 + 89 + 422 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2213379 + ... + 2213757.

Almost surely, 2^838942272 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 838942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448186080).

838942272 is an abundant number, since it is smaller than the sum of its proper divisors (2057429888).

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

838942272 is a wasteful number, since it uses less digits than its factorization.

838942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 838942272 is about 28964.5002028345. The cubic root of 838942272 is about 943.1425950340.

The spelling of 838942272 in words is "eight hundred thirty-eight million, nine hundred forty-two thousand, two hundred seventy-two".