13416444 has 72 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 4233600.

The previous prime is 13416341. The next prime is 13416457. The reversal of 13416444 is 44461431.

13416444 is a `hidden beast` number, since 13 + 4 + 1 + 644 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74034 + ... + 74214.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 2^13416444 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 13416444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

13416444 is an abundant number, since it is smaller than the sum of its proper divisors (22357476).

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

13416444 is a wasteful number, since it uses less digits than its factorization.

13416444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 13416444 is about 3662.8464341274. The cubic root of 13416444 is about 237.6178930850.

Adding to 13416444 its reverse (44461431), we get a palindrome (57877875).

The spelling of 13416444 in words is "thirteen million, four hundred sixteen thousand, four hundred forty-four".