14030400 has 168 divisors, whose sum is σ = 47873920. Its totient is φ = 3594240.

The previous prime is 14030369. The next prime is 14030407. The reversal of 14030400 is 403041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (14030407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177561 + ... + 177639.

Almost surely, 2^14030400 is an apocalyptic number.

14030400 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 14030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23936960).

14030400 is an abundant number, since it is smaller than the sum of its proper divisors (33843520).

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

14030400 is a wasteful number, since it uses less digits than its factorization.

14030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14030400 is about 3745.7175547550. The cubic root of 14030400 is about 241.1885486947.

Adding to 14030400 its reverse (403041), we get a palindrome (14433441).

The spelling of 14030400 in words is "fourteen million, thirty thousand, four hundred".