338268249 has 24 divisors (see below), whose sum is σ = 550228224. Its totient is φ = 198396000.

The previous prime is 338268221. The next prime is 338268317. The reversal of 338268249 is 942862833.

It is not a de Polignac number, because 338268249 - 2⁷ = 338268121 is a prime.

It is a super-2 number, since 2×338268249² = 228850816563052002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338263249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52042 + ... + 58179.

It is an arithmetic number, because the mean of its divisors is an integer number (22926176).

Almost surely, 2^338268249 is an apocalyptic number.

It is an amenable number.

338268249 is a deficient number, since it is larger than the sum of its proper divisors (211959975).

338268249 is a wasteful number, since it uses less digits than its factorization.

338268249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110269 (or 110266 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 338268249 is about 18392.0702749854. The cubic root of 338268249 is about 696.7662055932.

It can be divided in two parts, 3382 and 68249, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 338268249 in words is "three hundred thirty-eight million, two hundred sixty-eight thousand, two hundred forty-nine".