14484480 has 176 divisors, whose sum is σ = 49521024. Its totient is φ = 3604480.

The previous prime is 14484469. The next prime is 14484487. The reversal of 14484480 is 8448441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14484487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353260 + ... + 353300.

Almost surely, 2^14484480 is an apocalyptic number.

14484480 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 14484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760512).

14484480 is an abundant number, since it is smaller than the sum of its proper divisors (35036544).

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

14484480 is a wasteful number, since it uses less digits than its factorization.

14484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 14484480 is about 3805.8481314945. The cubic root of 14484480 is about 243.7629158179.

Adding to 14484480 its product of nonzero digits (16384), we get a square (14500864 = 3808²).

The spelling of 14484480 in words is "fourteen million, four hundred eighty-four thousand, four hundred eighty".