329649408 has 108 divisors (see below), whose sum is σ = 1036945728. Its totient is φ = 99886080.

The previous prime is 329649401. The next prime is 329649421. The reversal of 329649408 is 804946923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329649401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18841 + ... + 31847.

Almost surely, 2^329649408 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 329649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518472864).

329649408 is an abundant number, since it is smaller than the sum of its proper divisors (707296320).

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

329649408 is a wasteful number, since it uses less digits than its factorization.

329649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13040 (or 13023 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 329649408 is about 18156.2498330465. The cubic root of 329649408 is about 690.7975151647.

The spelling of 329649408 in words is "three hundred twenty-nine million, six hundred forty-nine thousand, four hundred eight".