14811408 has 60 divisors (see below), whose sum is σ = 42049020. Its totient is φ = 4866048.

The previous prime is 14811389. The next prime is 14811413. The reversal of 14811408 is 80411841.

It can be written as a sum of positive squares in 2 ways, for example, as 3196944 + 11614464 = 1788^2 + 3408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9808 + ... + 11216.

It is an arithmetic number, because the mean of its divisors is an integer number (700817).

Almost surely, 2^14811408 is an apocalyptic number.

14811408 is a gapful number since it is divisible by the number (18) 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 14811408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21024510).

14811408 is an abundant number, since it is smaller than the sum of its proper divisors (27237612).

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

14811408 is a wasteful number, since it uses less digits than its factorization.

14811408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 14811408 is about 3848.5592109256. The cubic root of 14811408 is about 245.5832722465.

The spelling of 14811408 in words is "fourteen million, eight hundred eleven thousand, four hundred eight".