329304960 has 512 divisors, whose sum is σ = 1321920000. Its totient is φ = 76972032.

The previous prime is 329304931. The next prime is 329304967. The reversal of 329304960 is 69403923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329304967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5581411 + ... + 5581469.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2^329304960 is an apocalyptic number.

329304960 is a gapful number since it is divisible by the number (30) 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 329304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960000).

329304960 is an abundant number, since it is smaller than the sum of its proper divisors (992615040).

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

329304960 is a wasteful number, since it uses less digits than its factorization.

329304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 329304960 is about 18146.7616945834. The cubic root of 329304960 is about 690.5568284027.

The spelling of 329304960 in words is "three hundred twenty-nine million, three hundred four thousand, nine hundred sixty".