329482944 has 112 divisors (see below), whose sum is σ = 1107033600. Its totient is φ = 94134528.

The previous prime is 329482939. The next prime is 329482961. The reversal of 329482944 is 449284923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 329482944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524 + ... + 25715.

Almost surely, 2^329482944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553516800).

329482944 is an abundant number, since it is smaller than the sum of its proper divisors (777550656).

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

329482944 is a wasteful number, since it uses less digits than its factorization.

329482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27267 (or 27251 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 329482944 is about 18151.6650475927. The cubic root of 329482944 is about 690.6812175909.

The spelling of 329482944 in words is "three hundred twenty-nine million, four hundred eighty-two thousand, nine hundred forty-four".