329406 has 64 divisors (see below), whose sum is σ = 884736. Its totient is φ = 79200.

The previous prime is 329401. The next prime is 329419. The reversal of 329406 is 604923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10611 + ... + 10641.

It is an arithmetic number, because the mean of its divisors is an integer number (13824).

2³²⁹⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442368).

329406 is an abundant number, since it is smaller than the sum of its proper divisors (555330).

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

329406 is a wasteful number, since it uses less digits than its factorization.

329406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 329406 is about 573.9390211512. The cubic root of 329406 is about 69.0627448583.

The spelling of 329406 in words is "three hundred twenty-nine thousand, four hundred six".