329430 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 86112.

The previous prime is 329419. The next prime is 329431. The reversal of 329430 is 34923.

329430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 329397 and 329406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329431) by changing a digit.

329430 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 15 ways as a sum of consecutive naturals, for example, 2301 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2³²⁹⁴³⁰ is an apocalyptic number.

329430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

329430 is an abundant number, since it is smaller than the sum of its proper divisors (476970).

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

329430 is a wasteful number, since it uses less digits than its factorization.

329430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 329430 is about 573.9599289149. The cubic root of 329430 is about 69.0644220850.

Adding to 329430 its product of nonzero digits (648), we get a triangular number (330078 = T₈₁₂).

The spelling of 329430 in words is "three hundred twenty-nine thousand, four hundred thirty".