13330404 has 36 divisors (see below), whose sum is σ = 33824700. Its totient is φ = 4426560.

The previous prime is 13330379. The next prime is 13330423. The reversal of 13330404 is 40403331.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 4040100 = 3048^2 + 2010^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12034 + ... + 13094.

It is an arithmetic number, because the mean of its divisors is an integer number (939575).

Almost surely, 2^13330404 is an apocalyptic number.

It is an amenable number.

13330404 is an abundant number, since it is smaller than the sum of its proper divisors (20494296).

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

13330404 is a wasteful number, since it uses less digits than its factorization.

13330404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13330404 is about 3651.0825791811. The cubic root of 13330404 is about 237.1088534839.

Adding to 13330404 its reverse (40403331), we get a palindrome (53733735).

The spelling of 13330404 in words is "thirteen million, three hundred thirty thousand, four hundred four".