13830400 has 54 divisors (see below), whose sum is σ = 34248242. Its totient is φ = 5529600.

The previous prime is 13830389. The next prime is 13830413. The reversal of 13830400 is 403831.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 12503296 = 1152^2 + 3536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5320 + ... + 7480.

Almost surely, 2^13830400 is an apocalyptic number.

13830400 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 13830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124121).

13830400 is an abundant number, since it is smaller than the sum of its proper divisors (20417842).

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

13830400 is an equidigital number, since it uses as much as digits as its factorization.

13830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13830400 is about 3718.9245757342. The cubic root of 13830400 is about 240.0370313229.

The spelling of 13830400 in words is "thirteen million, eight hundred thirty thousand, four hundred".