14826480 has 80 divisors (see below), whose sum is σ = 46366080. Its totient is φ = 3919104.

The previous prime is 14826437. The next prime is 14826481. The reversal of 14826480 is 8462841.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14826481) by changing a digit.

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, 38931 + ... + 39309.

It is an arithmetic number, because the mean of its divisors is an integer number (579576).

Almost surely, 2^14826480 is an apocalyptic number.

14826480 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 14826480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183040).

14826480 is an abundant number, since it is smaller than the sum of its proper divisors (31539600).

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

14826480 is a wasteful number, since it uses less digits than its factorization.

14826480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 14826480 is about 3850.5168484244. The cubic root of 14826480 is about 245.6665453620. Note that the first 3 decimals are identical.

The spelling of 14826480 in words is "fourteen million, eight hundred twenty-six thousand, four hundred eighty".