332704 has 24 divisors (see below), whose sum is σ = 675108. Its totient is φ = 161280.

The previous prime is 332699. The next prime is 332711. The reversal of 332704 is 407233.

It can be written as a sum of positive squares in 2 ways, for example, as 300304 + 32400 = 548^2 + 180^2 .

It is a super-2 number, since 2×332704² = 221383903232, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1044 + ... + 1324.

2³³²⁷⁰⁴ 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 332704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337554).

332704 is an abundant number, since it is smaller than the sum of its proper divisors (342404).

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

332704 is a wasteful number, since it uses less digits than its factorization.

332704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 332704 is about 576.8049930436. The cubic root of 332704 is about 69.2924644087.

Adding to 332704 its reverse (407233), we get a palindrome (739937).

Subtracting 332704 from its reverse (407233), we obtain a square (74529 = 273²).

The spelling of 332704 in words is "three hundred thirty-two thousand, seven hundred four".