14009400 has 144 divisors (see below), whose sum is σ = 48408360. Its totient is φ = 3628800.

The previous prime is 14009389. The next prime is 14009417. The reversal of 14009400 is 490041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 77310 + ... + 77490.

Almost surely, 2^14009400 is an apocalyptic number.

14009400 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 14009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24204180).

14009400 is an abundant number, since it is smaller than the sum of its proper divisors (34398960).

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

14009400 is a wasteful number, since it uses less digits than its factorization.

14009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14009400 is about 3742.9133038317. The cubic root of 14009400 is about 241.0681556287.

Adding to 14009400 its reverse (490041), we get a palindrome (14499441).

The spelling of 14009400 in words is "fourteen million, nine thousand, four hundred".