14007480 has 64 divisors (see below), whose sum is σ = 42435360. Its totient is φ = 3698688.

The previous prime is 14007467. The next prime is 14007517. The reversal of 14007480 is 8470041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14007480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13044 + ... + 14076.

Almost surely, 2^14007480 is an apocalyptic number.

14007480 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 14007480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21217680).

14007480 is an abundant number, since it is smaller than the sum of its proper divisors (28427880).

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

14007480 is a wasteful number, since it uses less digits than its factorization.

14007480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 14007480 is about 3742.6568103421. The cubic root of 14007480 is about 241.0571422614.

The spelling of 14007480 in words is "fourteen million, seven thousand, four hundred eighty".