14381400 has 96 divisors (see below), whose sum is σ = 48657600. Its totient is φ = 3484800.

The previous prime is 14381399. The next prime is 14381401. The reversal of 14381400 is 418341.

It is an interprime number because it is at equal distance from previous prime (14381399) and next prime (14381401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14381401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5511 + ... + 7689.

It is an arithmetic number, because the mean of its divisors is an integer number (506850).

Almost surely, 2^14381400 is an apocalyptic number.

14381400 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 14381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328800).

14381400 is an abundant number, since it is smaller than the sum of its proper divisors (34276200).

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

14381400 is a wasteful number, since it uses less digits than its factorization.

14381400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14381400 is about 3792.2816351110. The cubic root of 14381400 is about 243.1832856559.

Adding to 14381400 its reverse (418341), we get a palindrome (14799741).

The spelling of 14381400 in words is "fourteen million, three hundred eighty-one thousand, four hundred".