9484800 has 240 divisors, whose sum is σ = 35518560. Its totient is φ = 2211840.

The previous prime is 9484799. The next prime is 9484823. The reversal of 9484800 is 84849.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9484800² = 179922862080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 499191 + ... + 499209.

It is an arithmetic number, because the mean of its divisors is an integer number (147994).

Almost surely, 2^9484800 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 9484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759280).

9484800 is an abundant number, since it is smaller than the sum of its proper divisors (26033760).

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

9484800 is a wasteful number, since it uses less digits than its factorization.

9484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 9484800 is about 3079.7402487872. The cubic root of 9484800 is about 211.6781636207.

The spelling of 9484800 in words is "nine million, four hundred eighty-four thousand, eight hundred".