9480900 has 216 divisors, whose sum is σ = 34310304. Its totient is φ = 1996800.

The previous prime is 9480893. The next prime is 9480901. The reversal of 9480900 is 90849.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9480901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557692 + ... + 557708.

It is an arithmetic number, because the mean of its divisors is an integer number (158844).

Almost surely, 2^9480900 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 9480900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155152).

9480900 is an abundant number, since it is smaller than the sum of its proper divisors (24829404).

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

9480900 is a wasteful number, since it uses less digits than its factorization.

9480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9480900 is about 3079.1070134050. The cubic root of 9480900 is about 211.6491467371.

The spelling of 9480900 in words is "nine million, four hundred eighty thousand, nine hundred".