329440 has 48 divisors (see below), whose sum is σ = 816480. Its totient is φ = 125440.

The previous prime is 329431. The next prime is 329471. The reversal of 329440 is 44923.

329440 = T₁₃₆ + T₁₃₇ + ... + T₁₆₄.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4605 + ... + 4675.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2³²⁹⁴⁴⁰ 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 329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

329440 is an abundant number, since it is smaller than the sum of its proper divisors (487040).

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

329440 is a wasteful number, since it uses less digits than its factorization.

329440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 329440 is about 573.9686402583. The cubic root of 329440 is about 69.0651209054.

The spelling of 329440 in words is "three hundred twenty-nine thousand, four hundred forty".