14330400 has 144 divisors (see below), whose sum is σ = 53371584. Its totient is φ = 3271680.

The previous prime is 14330399. The next prime is 14330413. The reversal of 14330400 is 403341.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 14330400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16374 + ... + 17226.

It is an arithmetic number, because the mean of its divisors is an integer number (370636).

Almost surely, 2^14330400 is an apocalyptic number.

14330400 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 14330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26685792).

14330400 is an abundant number, since it is smaller than the sum of its proper divisors (39041184).

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

14330400 is a wasteful number, since it uses less digits than its factorization.

14330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 14330400 is about 3785.5514789790. The cubic root of 14330400 is about 242.8954824954.

Adding to 14330400 its reverse (403341), we get a palindrome (14733741).

The spelling of 14330400 in words is "fourteen million, three hundred thirty thousand, four hundred".