330240440 has 64 divisors (see below), whose sum is σ = 778075200. Its totient is φ = 125908992.

The previous prime is 330240439. The next prime is 330240457. The reversal of 330240440 is 44042033.

It is a happy number.

330240440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×330240440² = 218117496422787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397946 + ... + 398774.

It is an arithmetic number, because the mean of its divisors is an integer number (12157425).

Almost surely, 2^330240440 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 330240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389037600).

330240440 is an abundant number, since it is smaller than the sum of its proper divisors (447834760).

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

330240440 is a wasteful number, since it uses less digits than its factorization.

330240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 330240440 is about 18172.5188127568. The cubic root of 330240440 is about 691.2101147979.

Adding to 330240440 its reverse (44042033), we get a palindrome (374282473).

The spelling of 330240440 in words is "three hundred thirty million, two hundred forty thousand, four hundred forty".