330213440 has 112 divisors (see below), whose sum is σ = 842217264. Its totient is φ = 122880000.

The previous prime is 330213421. The next prime is 330213451. The reversal of 330213440 is 44312033.

It can be written as a sum of positive squares in 8 ways, for example, as 92313664 + 237899776 = 9608^2 + 15424^2 .

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

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, 549140 + ... + 549740.

It is an arithmetic number, because the mean of its divisors is an integer number (7519797).

Almost surely, 2^330213440 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 330213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421108632).

330213440 is an abundant number, since it is smaller than the sum of its proper divisors (512003824).

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

330213440 is a wasteful number, since it uses less digits than its factorization.

330213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 330213440 is about 18171.7759176147. The cubic root of 330213440 is about 691.1912768246.

Adding to 330213440 its reverse (44312033), we get a palindrome (374525473).

The spelling of 330213440 in words is "three hundred thirty million, two hundred thirteen thousand, four hundred forty".