329140416 has 112 divisors (see below), whose sum is σ = 960046848. Its totient is φ = 98688000.

The previous prime is 329140397. The next prime is 329140457. The reversal of 329140416 is 614041923.

329140416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212541 + ... + 214083.

Almost surely, 2^329140416 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 329140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480023424).

329140416 is an abundant number, since it is smaller than the sum of its proper divisors (630906432).

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

329140416 is a wasteful number, since it uses less digits than its factorization.

329140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 329140416 is about 18142.2274266420. The cubic root of 329140416 is about 690.4417922638.

The spelling of 329140416 in words is "three hundred twenty-nine million, one hundred forty thousand, four hundred sixteen".