300480 has 56 divisors (see below), whose sum is σ = 957072. Its totient is φ = 79872.

The previous prime is 300463. The next prime is 300481. The reversal of 300480 is 84003.

300480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300481) by changing a digit.

300480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 804 + ... + 1116.

2³⁰⁰⁴⁸⁰ is an apocalyptic number.

300480 is a gapful number since it is divisible by the number (30) 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 300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478536).

300480 is an abundant number, since it is smaller than the sum of its proper divisors (656592).

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

300480 is a wasteful number, since it uses less digits than its factorization.

300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 300480 is about 548.1605604200. The cubic root of 300480 is about 66.9789790741.

Adding to 300480 its reverse (84003), we get a palindrome (384483).

It can be divided in two parts, 300 and 480, that added together give a triangular number (780 = T₃₉).

The spelling of 300480 in words is "three hundred thousand, four hundred eighty".