330074400 has 144 divisors (see below), whose sum is σ = 1087992864. Its totient is φ = 86906880.

The previous prime is 330074399. The next prime is 330074419. The reversal of 330074400 is 4470033.

330074400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 198372 + ... + 200028.

It is an arithmetic number, because the mean of its divisors is an integer number (7555506).

Almost surely, 2^330074400 is an apocalyptic number.

330074400 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 330074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543996432).

330074400 is an abundant number, since it is smaller than the sum of its proper divisors (757918464).

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

330074400 is a wasteful number, since it uses less digits than its factorization.

330074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 330074400 is about 18167.9498017801. The cubic root of 330074400 is about 691.0942519764.

The spelling of 330074400 in words is "three hundred thirty million, seventy-four thousand, four hundred".