329172984 has 160 divisors (see below), whose sum is σ = 1075932000. Its totient is φ = 93985920.

The previous prime is 329172959. The next prime is 329173003. The reversal of 329172984 is 489271923.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221524 + ... + 223004.

It is an arithmetic number, because the mean of its divisors is an integer number (6724575).

Almost surely, 2^329172984 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 329172984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537966000).

329172984 is an abundant number, since it is smaller than the sum of its proper divisors (746759016).

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

329172984 is a wasteful number, since it uses less digits than its factorization.

329172984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1493 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 329172984 is about 18143.1249789004. The cubic root of 329172984 is about 690.4645642739.

The spelling of 329172984 in words is "three hundred twenty-nine million, one hundred seventy-two thousand, nine hundred eighty-four".