14378400 has 108 divisors (see below), whose sum is σ = 50727222. Its totient is φ = 3832320.

The previous prime is 14378387. The next prime is 14378411. The reversal of 14378400 is 487341.

14378400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6290064 + 8088336 = 2508^2 + 2844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6202 + ... + 8198.

Almost surely, 2^14378400 is an apocalyptic number.

14378400 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 14378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25363611).

14378400 is an abundant number, since it is smaller than the sum of its proper divisors (36348822).

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

14378400 is a wasteful number, since it uses less digits than its factorization.

14378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14378400 is about 3791.8860742380. The cubic root of 14378400 is about 243.1663749103.

The spelling of 14378400 in words is "fourteen million, three hundred seventy-eight thousand, four hundred".