9480240 has 400 divisors, whose sum is σ = 43211520. Its totient is φ = 1866240.

The previous prime is 9480239. The next prime is 9480257. The reversal of 9480240 is 420849.

It is a Cunningham number, because it is equal to 3079²-1.

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 (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498951 + ... + 498969.

Almost surely, 2^9480240 is an apocalyptic number.

9480240 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 9480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

9480240 is an abundant number, since it is smaller than the sum of its proper divisors (33731280).

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

9480240 is a wasteful number, since it uses less digits than its factorization.

9480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

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

The square root of 9480240 is about 3078.9998376096. Note that the first 3 decimals coincide. The cubic root of 9480240 is about 211.6442354003.

It can be divided in two parts, 9 and 480240, that added together give a square (480249 = 693²).

The spelling of 9480240 in words is "nine million, four hundred eighty thousand, two hundred forty".