329983920 has 240 divisors, whose sum is σ = 1276471872. Its totient is φ = 74833920.

The previous prime is 329983919. The next prime is 329983939. The reversal of 329983920 is 29389923.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174180 + ... + 1174460.

Almost surely, 2^329983920 is an apocalyptic number.

329983920 is a gapful number since it is divisible by the number (30) 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 329983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638235936).

329983920 is an abundant number, since it is smaller than the sum of its proper divisors (946487952).

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

329983920 is a wasteful number, since it uses less digits than its factorization.

329983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 329983920 is about 18165.4595317597. The cubic root of 329983920 is about 691.0310986162.

The spelling of 329983920 in words is "three hundred twenty-nine million, nine hundred eighty-three thousand, nine hundred twenty".