14400456 has 32 divisors (see below), whose sum is σ = 41144640. Its totient is φ = 4114368.

The previous prime is 14400431. The next prime is 14400457. The reversal of 14400456 is 65400441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14400457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42691 + ... + 43026.

It is an arithmetic number, because the mean of its divisors is an integer number (1285770).

Almost surely, 2^14400456 is an apocalyptic number.

It is an amenable number.

14400456 is an abundant number, since it is smaller than the sum of its proper divisors (26744184).

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

14400456 is a wasteful number, since it uses less digits than its factorization.

14400456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85733 (or 85729 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 14400456 is about 3794.7932750019. The cubic root of 14400456 is about 243.2906478367.

Adding to 14400456 its reverse (65400441), we get a palindrome (79800897).

The spelling of 14400456 in words is "fourteen million, four hundred thousand, four hundred fifty-six".