14683440 has 80 divisors (see below), whose sum is σ = 45898848. Its totient is φ = 3883008.

The previous prime is 14683433. The next prime is 14683441. The reversal of 14683440 is 4438641.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 14683398 and 14683407.

It is not an unprimeable number, because it can be changed into a prime (14683441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46162 + ... + 46478.

Almost surely, 2^14683440 is an apocalyptic number.

14683440 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 14683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22949424).

14683440 is an abundant number, since it is smaller than the sum of its proper divisors (31215408).

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

14683440 is a wasteful number, since it uses less digits than its factorization.

14683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

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

The square root of 14683440 is about 3831.8977021836. The cubic root of 14683440 is about 244.8739598818.

The spelling of 14683440 in words is "fourteen million, six hundred eighty-three thousand, four hundred forty".