329472 has 108 divisors (see below), whose sum is σ = 1116024. Its totient is φ = 92160.

The previous prime is 329471. The next prime is 329473. The reversal of 329472 is 274923.

It is an interprime number because it is at equal distance from previous prime (329471) and next prime (329473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25338 + ... + 25350.

2³²⁹⁴⁷² is an apocalyptic number.

329472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558012).

329472 is an abundant number, since it is smaller than the sum of its proper divisors (786552).

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

329472 is a wasteful number, since it uses less digits than its factorization.

329472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 29 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 329472 is about 573.9965156689. The cubic root of 329472 is about 69.0673570357.

The spelling of 329472 in words is "three hundred twenty-nine thousand, four hundred seventy-two".