330982080 has 224 divisors, whose sum is σ = 1235098368. Its totient is φ = 74035200.

The previous prime is 330982079. The next prime is 330982087. The reversal of 330982080 is 80289033.

330982080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×330982080² = 219098274562252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (330982087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136075 + ... + 138485.

It is an arithmetic number, because the mean of its divisors is an integer number (5513832).

Almost surely, 2^330982080 is an apocalyptic number.

330982080 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 330982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617549184).

330982080 is an abundant number, since it is smaller than the sum of its proper divisors (904116288).

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

330982080 is a wasteful number, since it uses less digits than its factorization.

330982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 330982080 is about 18192.9129058543. The cubic root of 330982080 is about 691.7271580778.

The spelling of 330982080 in words is "three hundred thirty million, nine hundred eighty-two thousand, eighty".