14457984 has 64 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 4606976.

The previous prime is 14457959. The next prime is 14458001. The reversal of 14457984 is 48975441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8014 + ... + 9650.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^14457984 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 14457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

14457984 is an abundant number, since it is smaller than the sum of its proper divisors (25640256).

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

14457984 is a wasteful number, since it uses less digits than its factorization.

14457984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1665 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 14457984 is about 3802.3655794781. The cubic root of 14457984 is about 243.6141891697.

The spelling of 14457984 in words is "fourteen million, four hundred fifty-seven thousand, nine hundred eighty-four".