14424400 has 30 divisors (see below), whose sum is σ = 34655582. Its totient is φ = 5769600.

The previous prime is 14424383. The next prime is 14424461. The reversal of 14424400 is 442441.

It can be written as a sum of positive squares in 3 ways, for example, as 226576 + 14197824 = 476^2 + 3768^2 .

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, 17631 + ... + 18430.

Almost surely, 2^14424400 is an apocalyptic number.

14424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14424400 is an abundant number, since it is smaller than the sum of its proper divisors (20231182).

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

14424400 is a wasteful number, since it uses less digits than its factorization.

14424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36079 (or 36068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 14424400 is about 3797.9468137403. The cubic root of 14424400 is about 243.4254149949.

Adding to 14424400 its reverse (442441), we get a palindrome (14866841).

The spelling of 14424400 in words is "fourteen million, four hundred twenty-four thousand, four hundred".