330404224 has 64 divisors (see below), whose sum is σ = 700128000. Its totient is φ = 154870272.

The previous prime is 330404209. The next prime is 330404237. The reversal of 330404224 is 422404033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 330404195 and 330404204.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 249837 + ... + 251155.

It is an arithmetic number, because the mean of its divisors is an integer number (10939500).

Almost surely, 2^330404224 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 330404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350064000).

330404224 is an abundant number, since it is smaller than the sum of its proper divisors (369723776).

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

330404224 is a wasteful number, since it uses less digits than its factorization.

330404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 330404224 is about 18177.0246190074. The cubic root of 330404224 is about 691.3243653392.

Adding to 330404224 its reverse (422404033), we get a palindrome (752808257).

The spelling of 330404224 in words is "three hundred thirty million, four hundred four thousand, two hundred twenty-four".