330430144 has 56 divisors (see below), whose sum is σ = 746443008. Its totient is φ = 143658240.

The previous prime is 330430127. The next prime is 330430157. The reversal of 330430144 is 441034033.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5989 + ... + 26395.

Almost surely, 2^330430144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373221504).

330430144 is an abundant number, since it is smaller than the sum of its proper divisors (416012864).

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

330430144 is a wasteful number, since it uses less digits than its factorization.

330430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453 (or 20443 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 330430144 is about 18177.7375930010. The cubic root of 330430144 is about 691.3424428512.

Adding to 330430144 its reverse (441034033), we get a palindrome (771464177).

The spelling of 330430144 in words is "three hundred thirty million, four hundred thirty thousand, one hundred forty-four".