14400414 has 72 divisors (see below), whose sum is σ = 37613160. Its totient is φ = 3965472.

The previous prime is 14400413. The next prime is 14400431. The reversal of 14400414 is 41400441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25297 + ... + 25859.

It is an arithmetic number, because the mean of its divisors is an integer number (522405).

Almost surely, 2^14400414 is an apocalyptic number.

14400414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14400414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18806580).

14400414 is an abundant number, since it is smaller than the sum of its proper divisors (23212746).

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

14400414 is a wasteful number, since it uses less digits than its factorization.

14400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14400414 is about 3794.7877410996. The cubic root of 14400414 is about 243.2904113114.

Adding to 14400414 its reverse (41400441), we get a palindrome (55800855).

The spelling of 14400414 in words is "fourteen million, four hundred thousand, four hundred fourteen".