14364400 has 30 divisors (see below), whose sum is σ = 34511432. Its totient is φ = 5745600.

The previous prime is 14364379. The next prime is 14364403. The reversal of 14364400 is 446341.

It is a happy number.

14364400 is nontrivially palindromic in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14364403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17556 + ... + 18355.

Almost surely, 2^14364400 is an apocalyptic number.

14364400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14364400 is an abundant number, since it is smaller than the sum of its proper divisors (20147032).

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

14364400 is a wasteful number, since it uses less digits than its factorization.

14364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35929 (or 35918 counting only the distinct ones).

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

The square root of 14364400 is about 3790.0395776298. The cubic root of 14364400 is about 243.0874269801.

The spelling of 14364400 in words is "fourteen million, three hundred sixty-four thousand, four hundred".