330382080 has 432 divisors, whose sum is σ = 1388971584. Its totient is φ = 70778880.

The previous prime is 330382069. The next prime is 330382103. The reversal of 330382080 is 80283033.

It is a congruent number.

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, 1370760 + ... + 1371000.

It is an arithmetic number, because the mean of its divisors is an integer number (3215212).

Almost surely, 2^330382080 is an apocalyptic number.

330382080 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 330382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694485792).

330382080 is an abundant number, since it is smaller than the sum of its proper divisors (1058589504).

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

330382080 is a wasteful number, since it uses less digits than its factorization.

330382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 330382080 is about 18176.4154882089. The cubic root of 330382080 is about 691.3089205924.

The spelling of 330382080 in words is "three hundred thirty million, three hundred eighty-two thousand, eighty".