14414008 has 96 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 5417280.

The previous prime is 14414003. The next prime is 14414009. The reversal of 14414008 is 80041441.

14414008 = 142² + 143² + ... + 358².

It is a self number, because there is not a number n which added to its sum of digits gives 14414008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464953 + ... + 464983.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^14414008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

14414008 is an abundant number, since it is smaller than the sum of its proper divisors (20698952).

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

14414008 is a wasteful number, since it uses less digits than its factorization.

14414008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 14414008 is about 3796.5784596133. The cubic root of 14414008 is about 243.3669426690.

Adding to 14414008 its reverse (80041441), we get a palindrome (94455449).

The spelling of 14414008 in words is "fourteen million, four hundred fourteen thousand, eight".