14640480 has 96 divisors (see below), whose sum is σ = 51256800. Its totient is φ = 3902976.

The previous prime is 14640377. The next prime is 14640491. The reversal of 14640480 is 8404641.

14640480 is a `hidden beast` number, since 14 + 640 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (533925).

Almost surely, 2^14640480 is an apocalyptic number.

14640480 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 14640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25628400).

14640480 is an abundant number, since it is smaller than the sum of its proper divisors (36616320).

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

14640480 is a wasteful number, since it uses less digits than its factorization.

14640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14640480 is about 3826.2880184325. The cubic root of 14640480 is about 244.6349136858.

The spelling of 14640480 in words is "fourteen million, six hundred forty thousand, four hundred eighty".