14400700 has 72 divisors (see below), whose sum is σ = 34029072. Its totient is φ = 5268480.

The previous prime is 14400679. The next prime is 14400707. The reversal of 14400700 is 700441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73002 + ... + 73198.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^14400700 is an apocalyptic number.

14400700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536).

14400700 is an abundant number, since it is smaller than the sum of its proper divisors (19628372).

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

14400700 is a wasteful number, since it uses less digits than its factorization.

14400700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 14400700 is about 3794.8254241796. The cubic root of 14400700 is about 243.2920219270.

The spelling of 14400700 in words is "fourteen million, four hundred thousand, seven hundred".