329414272 has 48 divisors (see below), whose sum is σ = 721372050. Its totient is φ = 149726720.

The previous prime is 329414249. The next prime is 329414273. The reversal of 329414272 is 272414923.

It can be written as a sum of positive squares in only one way, i.e., 270799936 + 58614336 = 16456^2 + 7656^2 .

It is not an unprimeable number, because it can be changed into a prime (329414273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4854 + ... + 26122.

Almost surely, 2^329414272 is an apocalyptic number.

329414272 is a gapful number since it is divisible by the number (32) 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 329414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360686025).

329414272 is an abundant number, since it is smaller than the sum of its proper divisors (391957778).

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

329414272 is a wasteful number, since it uses less digits than its factorization.

329414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21305 (or 21282 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 329414272 is about 18149.7733319179. The cubic root of 329414272 is about 690.6332295164.

The spelling of 329414272 in words is "three hundred twenty-nine million, four hundred fourteen thousand, two hundred seventy-two".