13848400 has 60 divisors (see below), whose sum is σ = 33731100. Its totient is φ = 5463040.

The previous prime is 13848391. The next prime is 13848427. The reversal of 13848400 is 484831.

13848400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2585664 + 11262736 = 1608^2 + 3356^2 .

It is a congruent number.

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, 35406 + ... + 35794.

It is an arithmetic number, because the mean of its divisors is an integer number (562185).

Almost surely, 2^13848400 is an apocalyptic number.

13848400 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 13848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865550).

13848400 is an abundant number, since it is smaller than the sum of its proper divisors (19882700).

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

13848400 is a wasteful number, since it uses less digits than its factorization.

13848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 13848400 is about 3721.3438432910. The cubic root of 13848400 is about 240.1411207080.

The spelling of 13848400 in words is "thirteen million, eight hundred forty-eight thousand, four hundred".