14338400 has 36 divisors (see below), whose sum is σ = 35005572. Its totient is φ = 5735040.

The previous prime is 14338391. The next prime is 14338409. The reversal of 14338400 is 483341.

It is an interprime number because it is at equal distance from previous prime (14338391) and next prime (14338409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14338409) 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 5 ways as a sum of consecutive naturals, for example, 8162 + ... + 9761.

It is an arithmetic number, because the mean of its divisors is an integer number (972377).

Almost surely, 2^14338400 is an apocalyptic number.

14338400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14338400 is an abundant number, since it is smaller than the sum of its proper divisors (20667172).

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

14338400 is a wasteful number, since it uses less digits than its factorization.

14338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17943 (or 17930 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 14338400 is about 3786.6079807659. The cubic root of 14338400 is about 242.9406731944.

The spelling of 14338400 in words is "fourteen million, three hundred thirty-eight thousand, four hundred".