14638440 has 64 divisors (see below), whose sum is σ = 44208000. Its totient is φ = 3877632.

The previous prime is 14638439. The next prime is 14638451. The reversal of 14638440 is 4483641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14638398 and 14638407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23574 + ... + 24186.

It is an arithmetic number, because the mean of its divisors is an integer number (690750).

Almost surely, 2^14638440 is an apocalyptic number.

14638440 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 14638440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104000).

14638440 is an abundant number, since it is smaller than the sum of its proper divisors (29569560).

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

14638440 is a wasteful number, since it uses less digits than its factorization.

14638440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14638440 is about 3826.0214322453. The cubic root of 14638440 is about 244.6235507067.

The spelling of 14638440 in words is "fourteen million, six hundred thirty-eight thousand, four hundred forty".