329320464 has 160 divisors (see below), whose sum is σ = 1034933760. Its totient is φ = 88934400.

The previous prime is 329320451. The next prime is 329320469. The reversal of 329320464 is 464023923.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (329320469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169579 + ... + 171509.

It is an arithmetic number, because the mean of its divisors is an integer number (6468336).

Almost surely, 2^329320464 is an apocalyptic number.

329320464 is a gapful number since it is divisible by the number (34) 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 329320464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

329320464 is an abundant number, since it is smaller than the sum of its proper divisors (705613296).

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

329320464 is a wasteful number, since it uses less digits than its factorization.

329320464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 329320464 is about 18147.1888732112. The cubic root of 329320464 is about 690.5676655965.

The spelling of 329320464 in words is "three hundred twenty-nine million, three hundred twenty thousand, four hundred sixty-four".