14514480 has 120 divisors (see below), whose sum is σ = 51358320. Its totient is φ = 3663360.

The previous prime is 14514473. The next prime is 14514491. The reversal of 14514480 is 8441541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 13150 + ... + 14210.

It is an arithmetic number, because the mean of its divisors is an integer number (427986).

Almost surely, 2^14514480 is an apocalyptic number.

14514480 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 14514480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25679160).

14514480 is an abundant number, since it is smaller than the sum of its proper divisors (36843840).

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

14514480 is a wasteful number, since it uses less digits than its factorization.

14514480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 14514480 is about 3809.7873956430. The cubic root of 14514480 is about 243.9310922500.

The spelling of 14514480 in words is "fourteen million, five hundred fourteen thousand, four hundred eighty".