329948480 has 56 divisors (see below), whose sum is σ = 787923240. Its totient is φ = 131604480.

The previous prime is 329948447. The next prime is 329948483. The reversal of 329948480 is 84849923.

It can be written as a sum of positive squares in 4 ways, for example, as 11397376 + 318551104 = 3376^2 + 17848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329948483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129620 + ... + 132140.

Almost surely, 2^329948480 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 329948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393961620).

329948480 is an abundant number, since it is smaller than the sum of its proper divisors (457974760).

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

329948480 is a wasteful number, since it uses less digits than its factorization.

329948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 329948480 is about 18164.4840279046. The cubic root of 329948480 is about 691.0063590078.

The spelling of 329948480 in words is "three hundred twenty-nine million, nine hundred forty-eight thousand, four hundred eighty".