329424 has 20 divisors (see below), whose sum is σ = 851136. Its totient is φ = 109792.

The previous prime is 329419. The next prime is 329431. The reversal of 329424 is 424923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3 + 2⁵ + 4 + 9⁵ + 2¹³ + 4⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 329394 and 329403.

It is a congruent number.

It is an unprimeable number.

329424 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 3384 + ... + 3479.

2³²⁹⁴²⁴ is an apocalyptic number.

It is an amenable number.

329424 is an abundant number, since it is smaller than the sum of its proper divisors (521712).

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

329424 is a wasteful number, since it uses less digits than its factorization.

329424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6868 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 329424 is about 573.9547020454. The cubic root of 329424 is about 69.0640027860.

The spelling of 329424 in words is "three hundred twenty-nine thousand, four hundred twenty-four".