14505480 has 240 divisors, whose sum is σ = 55038060. Its totient is φ = 3421440.

The previous prime is 14505473. The next prime is 14505497. The reversal of 14505480 is 8450541.

It can be written as a sum of positive squares in 2 ways, for example, as 14152644 + 352836 = 3762^2 + 594^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 392022 + ... + 392058.

Almost surely, 2^14505480 is an apocalyptic number.

14505480 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 14505480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27519030).

14505480 is an abundant number, since it is smaller than the sum of its proper divisors (40532580).

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

14505480 is a wasteful number, since it uses less digits than its factorization.

14505480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 14505480 is about 3808.6060442109. The cubic root of 14505480 is about 243.8806636722.

The spelling of 14505480 in words is "fourteen million, five hundred five thousand, four hundred eighty".