339472 has 30 divisors (see below), whose sum is σ = 766878. Its totient is φ = 145152.

The previous prime is 339467. The next prime is 339491. The reversal of 339472 is 274933.

It can be written as a sum of positive squares in only one way, i.e., 226576 + 112896 = 476^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 3⁹ + 3¹¹ + 4⁷ + 9⁴ + 7⁶ + 2¹¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 339472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 568 + ... + 1000.

2³³⁹⁴⁷² 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 339472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383439).

339472 is an abundant number, since it is smaller than the sum of its proper divisors (427406).

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

339472 is a wasteful number, since it uses less digits than its factorization.

339472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 339472 is about 582.6422573072. The cubic root of 339472 is about 69.7591724083.

The spelling of 339472 in words is "three hundred thirty-nine thousand, four hundred seventy-two".