14414200 has 48 divisors (see below), whose sum is σ = 33904080. Its totient is φ = 5698560.

The previous prime is 14414171. The next prime is 14414203. The reversal of 14414200 is 241441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19029 + ... + 19771.

It is an arithmetic number, because the mean of its divisors is an integer number (706335).

Almost surely, 2^14414200 is an apocalyptic number.

14414200 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 14414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952040).

14414200 is an abundant number, since it is smaller than the sum of its proper divisors (19489880).

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

14414200 is a wasteful number, since it uses less digits than its factorization.

14414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 14414200 is about 3796.6037454546. The cubic root of 14414200 is about 243.3680232439.

Adding to 14414200 its reverse (241441), we get a palindrome (14655641).

It can be divided in two parts, 1 and 4414200, that added together give a square (4414201 = 2101²).

The spelling of 14414200 in words is "fourteen million, four hundred fourteen thousand, two hundred".