14457456 has 60 divisors (see below), whose sum is σ = 43578808. Its totient is φ = 4447872.

The previous prime is 14457451. The next prime is 14457479. The reversal of 14457456 is 65475441.

14457456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14457456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14457451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990 + ... + 5733.

Almost surely, 2^14457456 is an apocalyptic number.

14457456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14457456 is an abundant number, since it is smaller than the sum of its proper divisors (29121352).

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

14457456 is a wasteful number, since it uses less digits than its factorization.

14457456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7750 (or 7741 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 14457456 is about 3802.2961483819. The cubic root of 14457456 is about 243.6112235682.

It can be divided in two parts, 144 and 57456, that added together give a square (57600 = 240²).

The spelling of 14457456 in words is "fourteen million, four hundred fifty-seven thousand, four hundred fifty-six".