14346400 has 72 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 5640960.

The previous prime is 14346383. The next prime is 14346401. The reversal of 14346400 is 464341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14346401) 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 11 ways as a sum of consecutive naturals, for example, 63087 + ... + 63313.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^14346400 is an apocalyptic number.

14346400 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 14346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

14346400 is an abundant number, since it is smaller than the sum of its proper divisors (21276320).

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

14346400 is a wasteful number, since it uses less digits than its factorization.

14346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 14346400 is about 3787.6641878604. The cubic root of 14346400 is about 242.9858470873.

The spelling of 14346400 in words is "fourteen million, three hundred forty-six thousand, four hundred".