14300480 has 112 divisors (see below), whose sum is σ = 37307520. Its totient is φ = 5203968.

The previous prime is 14300477. The next prime is 14300497. The reversal of 14300480 is 8400341.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 213407 + ... + 213473.

Almost surely, 2^14300480 is an apocalyptic number.

14300480 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 14300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653760).

14300480 is an abundant number, since it is smaller than the sum of its proper divisors (23007040).

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

14300480 is a wasteful number, since it uses less digits than its factorization.

14300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14300480 is about 3781.5975460115. The cubic root of 14300480 is about 242.7263200499.

The spelling of 14300480 in words is "fourteen million, three hundred thousand, four hundred eighty".