330444441 has 20 divisors (see below), whose sum is σ = 494224500. Its totient is φ = 220029696.

The previous prime is 330444421. The next prime is 330444467. The reversal of 330444441 is 144444033.

It can be written as a sum of positive squares in 2 ways, for example, as 272745225 + 57699216 = 16515^2 + 7596^2 .

It is not a de Polignac number, because 330444441 - 2⁷ = 330444313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (330444421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83025 + ... + 86913.

It is an arithmetic number, because the mean of its divisors is an integer number (24711225).

Almost surely, 2^330444441 is an apocalyptic number.

It is an amenable number.

330444441 is a deficient number, since it is larger than the sum of its proper divisors (163780059).

330444441 is a wasteful number, since it uses less digits than its factorization.

330444441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 330444441 is about 18178.1308445065. The cubic root of 330444441 is about 691.3524136731.

Adding to 330444441 its reverse (144444033), we get a palindrome (474888474).

The spelling of 330444441 in words is "three hundred thirty million, four hundred forty-four thousand, four hundred forty-one".