9300480 has 160 divisors (see below), whose sum is σ = 34176384. Its totient is φ = 2113536.

The previous prime is 9300461. The next prime is 9300497. The reversal of 9300480 is 840039.

It is a tau number, because it is divible by the number of its divisors (160).

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 9300480.

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, 53674 + ... + 53846.

Almost surely, 2^9300480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088192).

9300480 is an abundant number, since it is smaller than the sum of its proper divisors (24875904).

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

9300480 is a wasteful number, since it uses less digits than its factorization.

9300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 9300480 is about 3049.6688344802. The cubic root of 9300480 is about 210.2979896516.

Subtracting from 9300480 its reverse (840039), we obtain a triangular number (8460441 = T₄₁₁₃).

The spelling of 9300480 in words is "nine million, three hundred thousand, four hundred eighty".