9408240 has 120 divisors (see below), whose sum is σ = 32207760. Its totient is φ = 2460672.

The previous prime is 9408193. The next prime is 9408241. The reversal of 9408240 is 428049.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9408241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52471 + ... + 52649.

It is an arithmetic number, because the mean of its divisors is an integer number (268398).

Almost surely, 2^9408240 is an apocalyptic number.

9408240 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 9408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103880).

9408240 is an abundant number, since it is smaller than the sum of its proper divisors (22799520).

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

9408240 is a wasteful number, since it uses less digits than its factorization.

9408240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

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

The square root of 9408240 is about 3067.2854448192. The cubic root of 9408240 is about 211.1070786139.

It can be divided in two parts, 940 and 8240, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 9408240 in words is "nine million, four hundred eight thousand, two hundred forty".