14146400 has 36 divisors (see below), whose sum is σ = 34536852. Its totient is φ = 5658240.

The previous prime is 14146399. The next prime is 14146409. The reversal of 14146400 is 464141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146409) 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, 8042 + ... + 9641.

It is an arithmetic number, because the mean of its divisors is an integer number (959357).

Almost surely, 2^14146400 is an apocalyptic number.

14146400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14146400 is an abundant number, since it is smaller than the sum of its proper divisors (20390452).

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

14146400 is a wasteful number, since it uses less digits than its factorization.

14146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17703 (or 17690 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14146400 is about 3761.1700307218. The cubic root of 14146400 is about 241.8514216723.

The spelling of 14146400 in words is "fourteen million, one hundred forty-six thousand, four hundred".