9240480 has 240 divisors, whose sum is σ = 35126784. Its totient is φ = 2280960.

The previous prime is 9240467. The next prime is 9240509. The reversal of 9240480 is 840429.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 298065 + ... + 298095.

Almost surely, 2^9240480 is an apocalyptic number.

9240480 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 9240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392).

9240480 is an abundant number, since it is smaller than the sum of its proper divisors (25886304).

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

9240480 is a wasteful number, since it uses less digits than its factorization.

9240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9240480 is about 3039.8157838922. The cubic root of 9240480 is about 209.8447832625.

The spelling of 9240480 in words is "nine million, two hundred forty thousand, four hundred eighty".