14284416 has 32 divisors (see below), whose sum is σ = 37944000. Its totient is φ = 4761344.

The previous prime is 14284399. The next prime is 14284423. The reversal of 14284416 is 61448241.

14284416 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 tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×14284416² = 408089080922112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 18216 + ... + 18983.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^14284416 is an apocalyptic number.

14284416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14284416 is an abundant number, since it is smaller than the sum of its proper divisors (23659584).

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

14284416 is an equidigital number, since it uses as much as digits as its factorization.

14284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37216 (or 37204 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14284416 is about 3779.4729791335. The cubic root of 14284416 is about 242.6353996399.

The spelling of 14284416 in words is "fourteen million, two hundred eighty-four thousand, four hundred sixteen".