14434400 has 36 divisors (see below), whose sum is σ = 35239932. Its totient is φ = 5773440.

The previous prime is 14434397. The next prime is 14434429. The reversal of 14434400 is 443441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8222 + ... + 9821.

It is an arithmetic number, because the mean of its divisors is an integer number (978887).

Almost surely, 2^14434400 is an apocalyptic number.

14434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434400 is an abundant number, since it is smaller than the sum of its proper divisors (20805532).

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

14434400 is a wasteful number, since it uses less digits than its factorization.

14434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18063 (or 18050 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 14434400 is about 3799.2630864419. The cubic root of 14434400 is about 243.4816551582.

Adding to 14434400 its reverse (443441), we get a palindrome (14877841).

The spelling of 14434400 in words is "fourteen million, four hundred thirty-four thousand, four hundred".