339408 has 30 divisors (see below), whose sum is σ = 950274. Its totient is φ = 113088.

The previous prime is 339389. The next prime is 339413. The reversal of 339408 is 804933.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 97344 = 492^2 + 312^2 .

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

339408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1035 + ... + 1322.

2³³⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

339408 is an abundant number, since it is smaller than the sum of its proper divisors (610866).

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

339408 is a wasteful number, since it uses less digits than its factorization.

339408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 339408 is about 582.5873325090. The cubic root of 339408 is about 69.7547882788.

It can be divided in two parts, 339 and 408, that added together give a palindrome (747).

The spelling of 339408 in words is "three hundred thirty-nine thousand, four hundred eight".