14413840 has 60 divisors (see below), whose sum is σ = 38994156. Its totient is φ = 4940544.

The previous prime is 14413829. The next prime is 14413843. The reversal of 14413840 is 4831441.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 5934096 = 2912^2 + 2436^2 .

It is a super-3 number, since 3×14413840³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14413843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2082 + ... + 5758.

Almost surely, 2^14413840 is an apocalyptic number.

14413840 is a gapful number since it is divisible by the number (10) 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 14413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19497078).

14413840 is an abundant number, since it is smaller than the sum of its proper divisors (24580316).

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

14413840 is a wasteful number, since it uses less digits than its factorization.

14413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 14413840 is about 3796.5563343641. The cubic root of 14413840 is about 243.3659971581.

The spelling of 14413840 in words is "fourteen million, four hundred thirteen thousand, eight hundred forty".