938282240 has 288 divisors, whose sum is σ = 2790305280. Its totient is φ = 295206912.

The previous prime is 938282227. The next prime is 938282249. The reversal of 938282240 is 42282839.

It is a junction number, because it is equal to n+sod(n) for n = 938282194 and 938282203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938282249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5976242 + ... + 5976398.

It is an arithmetic number, because the mean of its divisors is an integer number (9688560).

Almost surely, 2^938282240 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 938282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395152640).

938282240 is an abundant number, since it is smaller than the sum of its proper divisors (1852023040).

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

938282240 is a wasteful number, since it uses less digits than its factorization.

938282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 938282240 is about 30631.3930470033. The cubic root of 938282240 is about 978.9890449343.

The spelling of 938282240 in words is "nine hundred thirty-eight million, two hundred eighty-two thousand, two hundred forty".