338208 has 48 divisors (see below), whose sum is σ = 959616. Its totient is φ = 103680.

The previous prime is 338207. The next prime is 338213. The reversal of 338208 is 802833.

338208 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×338208² = 228769302528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (338203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1113 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (19992).

2³³⁸²⁰⁸ 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 338208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479808).

338208 is an abundant number, since it is smaller than the sum of its proper divisors (621408).

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

338208 is a wasteful number, since it uses less digits than its factorization.

338208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 338208 is about 581.5565320758. The cubic root of 338208 is about 69.6724836098.

The spelling of 338208 in words is "three hundred thirty-eight thousand, two hundred eight".