330289920 has 288 divisors, whose sum is σ = 1236211200. Its totient is φ = 83275776.

The previous prime is 330289919. The next prime is 330289931. The reversal of 330289920 is 29982033.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656389 + ... + 656891.

It is an arithmetic number, because the mean of its divisors is an integer number (4292400).

Almost surely, 2^330289920 is an apocalyptic number.

330289920 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 330289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618105600).

330289920 is an abundant number, since it is smaller than the sum of its proper divisors (905921280).

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

330289920 is a wasteful number, since it uses less digits than its factorization.

330289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 330289920 is about 18173.8801580730. The cubic root of 330289920 is about 691.2446344633.

The spelling of 330289920 in words is "three hundred thirty million, two hundred eighty-nine thousand, nine hundred twenty".