329408 has 14 divisors (see below), whose sum is σ = 653796. Its totient is φ = 164672.

The previous prime is 329401. The next prime is 329419. The reversal of 329408 is 804923.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329408.

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

329408 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 as a sum of consecutive naturals, namely, 2510 + ... + 2637.

2³²⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

329408 is a deficient number, since it is larger than the sum of its proper divisors (324388).

329408 is an equidigital number, since it uses as much as digits as its factorization.

329408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 329408 is about 573.9407634939. The cubic root of 329408 is about 69.0628846303.

It can be divided in two parts, 329 and 408, that added together give a palindrome (737).

The spelling of 329408 in words is "three hundred twenty-nine thousand, four hundred eight".