339456 has 80 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 98304.

The previous prime is 339433. The next prime is 339467. The reversal of 339456 is 654933.

It is a happy number.

339456 is nontrivially palindromic in base 15.

It is a d-powerful number, because it can be written as 3⁴ + 3¹⁰ + 4⁴ + 9 + 5³ + 6⁷ .

It is a congruent number.

It is an unprimeable number.

339456 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 7 ways as a sum of consecutive naturals, for example, 19960 + ... + 19976.

2³³⁹⁴⁵⁶ 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 339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

339456 is an abundant number, since it is smaller than the sum of its proper divisors (691728).

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

339456 is a wasteful number, since it uses less digits than its factorization.

339456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 339456 is about 582.6285265931. The cubic root of 339456 is about 69.7580764276.

The spelling of 339456 in words is "three hundred thirty-nine thousand, four hundred fifty-six".