330214401 has 28 divisors (see below), whose sum is σ = 540116880. Its totient is φ = 200125080.

The previous prime is 330214373. The next prime is 330214441. The reversal of 330214401 is 104412033.

It is not a de Polignac number, because 330214401 - 2⁹ = 330213889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330214441) 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 27 ways as a sum of consecutive naturals, for example, 12571 + ... + 28608.

Almost surely, 2^330214401 is an apocalyptic number.

It is an amenable number.

330214401 is a deficient number, since it is larger than the sum of its proper divisors (209902479).

330214401 is an equidigital number, since it uses as much as digits as its factorization.

330214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41208 (or 41193 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 330214401 is about 18171.8023597000. The cubic root of 330214401 is about 691.1919473346.

Adding to 330214401 its reverse (104412033), we get a palindrome (434626434).

The spelling of 330214401 in words is "three hundred thirty million, two hundred fourteen thousand, four hundred one".