329049920 has 56 divisors (see below), whose sum is σ = 791385768. Its totient is φ = 130304000.

The previous prime is 329049901. The next prime is 329049947. The reversal of 329049920 is 29940923.

It can be written as a sum of positive squares in 4 ways, for example, as 124902976 + 204146944 = 11176^2 + 14288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27230 + ... + 37410.

Almost surely, 2^329049920 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 329049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395692884).

329049920 is an abundant number, since it is smaller than the sum of its proper divisors (462335848).

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

329049920 is a wasteful number, since it uses less digits than its factorization.

329049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 329049920 is about 18139.7331843663. The cubic root of 329049920 is about 690.3785082825.

It can be divided in two parts, 32904 and 9920, that added together give a palindrome (42824).

The spelling of 329049920 in words is "three hundred twenty-nine million, forty-nine thousand, nine hundred twenty".