14480480 has 72 divisors (see below), whose sum is σ = 39817008. Its totient is φ = 4962048.

The previous prime is 14480449. The next prime is 14480491. The reversal of 14480480 is 8408441.

14480480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6917 + ... + 8763.

It is an arithmetic number, because the mean of its divisors is an integer number (553014).

Almost surely, 2^14480480 is an apocalyptic number.

14480480 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 14480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19908504).

14480480 is an abundant number, since it is smaller than the sum of its proper divisors (25336528).

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

14480480 is a wasteful number, since it uses less digits than its factorization.

14480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 14480480 is about 3805.3225881652. The cubic root of 14480480 is about 243.7404747538.

The spelling of 14480480 in words is "fourteen million, four hundred eighty thousand, four hundred eighty".