9384480 has 288 divisors, whose sum is σ = 39312000. Its totient is φ = 2032128.

The previous prime is 9384469. The next prime is 9384491. The reversal of 9384480 is 844839.

It is an interprime number because it is at equal distance from previous prime (9384469) and next prime (9384491).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493911 + ... + 493929.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 2^9384480 is an apocalyptic number.

9384480 is a gapful number since it is divisible by the number (90) 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 9384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

9384480 is an abundant number, since it is smaller than the sum of its proper divisors (29927520).

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

9384480 is a wasteful number, since it uses less digits than its factorization.

9384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9384480 is about 3063.4098648402. The cubic root of 9384480 is about 210.9292156417.

The spelling of 9384480 in words is "nine million, three hundred eighty-four thousand, four hundred eighty".