330516480 has 384 divisors, whose sum is σ = 1273708800. Its totient is φ = 71565312.

The previous prime is 330516421. The next prime is 330516491. The reversal of 330516480 is 84615033.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×330516480² = 218482287103180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6236134 + ... + 6236186.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2^330516480 is an apocalyptic number.

330516480 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 330516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

330516480 is an abundant number, since it is smaller than the sum of its proper divisors (943192320).

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

330516480 is a wasteful number, since it uses less digits than its factorization.

330516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 330516480 is about 18180.1122108748. The cubic root of 330516480 is about 691.4026497709.

The spelling of 330516480 in words is "three hundred thirty million, five hundred sixteen thousand, four hundred eighty".