338278248 has 288 divisors, whose sum is σ = 1208491200. Its totient is φ = 85821120.

The previous prime is 338278247. The next prime is 338278307. The reversal of 338278248 is 842872833.

338278248 is a `hidden beast` number, since 338 + 2 + 78 + 248 = 666.

It is a super-2 number, since 2×338278248² = 228864346139899008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338278247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7866915 + ... + 7866957.

It is an arithmetic number, because the mean of its divisors is an integer number (4196150).

Almost surely, 2^338278248 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 338278248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604245600).

338278248 is an abundant number, since it is smaller than the sum of its proper divisors (870212952).

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

338278248 is a wasteful number, since it uses less digits than its factorization.

338278248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 66 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 338278248 is about 18392.3421020815. The cubic root of 338278248 is about 696.7730708514.

The spelling of 338278248 in words is "three hundred thirty-eight million, two hundred seventy-eight thousand, two hundred forty-eight".