330438816 has 72 divisors (see below), whose sum is σ = 945584640. Its totient is φ = 109454976.

The previous prime is 330438767. The next prime is 330438839. The reversal of 330438816 is 618834033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×330438816² = 218379622238963712, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43425 + ... + 50463.

It is an arithmetic number, because the mean of its divisors is an integer number (13133120).

Almost surely, 2^330438816 is an apocalyptic number.

330438816 is a gapful number since it is divisible by the number (36) 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 330438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472792320).

330438816 is an abundant number, since it is smaller than the sum of its proper divisors (615145824).

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

330438816 is a wasteful number, since it uses less digits than its factorization.

330438816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 330438816 is about 18177.9761249706. The cubic root of 330438816 is about 691.3484907954.

The spelling of 330438816 in words is "three hundred thirty million, four hundred thirty-eight thousand, eight hundred sixteen".