14478400 has 42 divisors (see below), whose sum is σ = 35629850. Its totient is φ = 5790720.

The previous prime is 14478389. The next prime is 14478403. The reversal of 14478400 is 487441.

It can be written as a sum of positive squares in 3 ways, for example, as 2534464 + 11943936 = 1592^2 + 3456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14478403) 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, 2925 + ... + 6124.

Almost surely, 2^14478400 is an apocalyptic number.

14478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14478400 is an abundant number, since it is smaller than the sum of its proper divisors (21151450).

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

14478400 is an equidigital number, since it uses as much as digits as its factorization.

14478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071 (or 9056 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 14478400 is about 3805.0492769477. The cubic root of 14478400 is about 243.7288037672.

It can be divided in two parts, 14478 and 400, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 14478400 in words is "fourteen million, four hundred seventy-eight thousand, four hundred".