14219400 has 96 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 3498240.

The previous prime is 14219399. The next prime is 14219407. The reversal of 14219400 is 491241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14219407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6889 + ... + 8711.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^14219400 is an apocalyptic number.

14219400 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 14219400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

14219400 is an abundant number, since it is smaller than the sum of its proper divisors (33277560).

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

14219400 is a wasteful number, since it uses less digits than its factorization.

14219400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 14219400 is about 3770.8619704253. The cubic root of 14219400 is about 242.2667186567.

The spelling of 14219400 in words is "fourteen million, two hundred nineteen thousand, four hundred".