18300480 has 112 divisors (see below), whose sum is σ = 63422784. Its totient is φ = 4433920.

The previous prime is 18300467. The next prime is 18300481. The reversal of 18300480 is 8400381.

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 18300480.

It is not an unprimeable number, because it can be changed into a prime (18300481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9694 + ... + 11426.

Almost surely, 2^18300480 is an apocalyptic number.

18300480 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 18300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711392).

18300480 is an abundant number, since it is smaller than the sum of its proper divisors (45122304).

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

18300480 is a wasteful number, since it uses less digits than its factorization.

18300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 18300480 is about 4277.9060298235. The cubic root of 18300480 is about 263.5243962256.

Subtracting from 18300480 its reverse (8400381), we obtain a palindrome (9900099).

The spelling of 18300480 in words is "eighteen million, three hundred thousand, four hundred eighty".