14414464 has 32 divisors (see below), whose sum is σ = 30232800. Its totient is φ = 6826752.

The previous prime is 14414459. The next prime is 14414509. The reversal of 14414464 is 46441441.

14414464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 532 + ... + 5395.

It is an arithmetic number, because the mean of its divisors is an integer number (944775).

Almost surely, 2^14414464 is an apocalyptic number.

It is an amenable number.

14414464 is an abundant number, since it is smaller than the sum of its proper divisors (15818336).

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

14414464 is an equidigital number, since it uses as much as digits as its factorization.

14414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5948 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 14414464 is about 3796.6385132114. The cubic root of 14414464 is about 243.3695090187.

It can be divided in two parts, 14414 and 464, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 14414464 in words is "fourteen million, four hundred fourteen thousand, four hundred sixty-four".