14240400 has 60 divisors (see below), whose sum is σ = 45620592. Its totient is φ = 3797120.

The previous prime is 14240351. The next prime is 14240431. The reversal of 14240400 is 404241.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14240400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4734 + ... + 7133.

Almost surely, 2^14240400 is an apocalyptic number.

14240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240400 is an abundant number, since it is smaller than the sum of its proper divisors (31380192).

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

14240400 is a wasteful number, since it uses less digits than its factorization.

14240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 14240400 is about 3773.6454523445. The cubic root of 14240400 is about 242.3859243098.

Adding to 14240400 its reverse (404241), we get a palindrome (14644641).

The spelling of 14240400 in words is "fourteen million, two hundred forty thousand, four hundred".