13244400 has 180 divisors, whose sum is σ = 49672168. Its totient is φ = 3248640.

The previous prime is 13244383. The next prime is 13244431. The reversal of 13244400 is 444231.

13244400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46659 + ... + 46941.

Almost surely, 2^13244400 is an apocalyptic number.

13244400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24836084).

13244400 is an abundant number, since it is smaller than the sum of its proper divisors (36427768).

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

13244400 is a wasteful number, since it uses less digits than its factorization.

13244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13244400 is about 3639.2856441890. The cubic root of 13244400 is about 236.5978331416.

Adding to 13244400 its reverse (444231), we get a palindrome (13688631).

The spelling of 13244400 in words is "thirteen million, two hundred forty-four thousand, four hundred".