330400144 has 10 divisors (see below), whose sum is σ = 640150310. Its totient is φ = 165200064.

The previous prime is 330400141. The next prime is 330400153. The reversal of 330400144 is 441004033.

It can be written as a sum of positive squares in only one way, i.e., 301369600 + 29030544 = 17360^2 + 5388^2 .

It is not an unprimeable number, because it can be changed into a prime (330400141) by changing a digit.

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 as a sum of consecutive naturals, namely, 10324989 + ... + 10325020.

It is an arithmetic number, because the mean of its divisors is an integer number (64015031).

Almost surely, 2^330400144 is an apocalyptic number.

It is an amenable number.

330400144 is a deficient number, since it is larger than the sum of its proper divisors (309750166).

330400144 is a wasteful number, since it uses less digits than its factorization.

330400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650017 (or 20650011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 330400144 is about 18176.9123890720. The cubic root of 330400144 is about 691.3215197188.

Adding to 330400144 its reverse (441004033), we get a palindrome (771404177).

The spelling of 330400144 in words is "three hundred thirty million, four hundred thousand, one hundred forty-four".