14905408 has 70 divisors (see below), whose sum is σ = 34861246. Its totient is φ = 6322176.

The previous prime is 14905393. The next prime is 14905409. The reversal of 14905408 is 80450941.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12446784 + 2458624 = 3528^2 + 1568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14905408.

It is not an unprimeable number, because it can be changed into a prime (14905409) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153616 + ... + 153712.

Almost surely, 2^14905408 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 14905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430623).

14905408 is an abundant number, since it is smaller than the sum of its proper divisors (19955838).

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

14905408 is an frugal number, since it uses more digits than its factorization.

14905408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 14905408 is about 3860.7522583041. The cubic root of 14905408 is about 246.1017051420.

The spelling of 14905408 in words is "fourteen million, nine hundred five thousand, four hundred eight".