9408474720 has 288 divisors, whose sum is σ = 33927828480. Its totient is φ = 2367636480.

The previous prime is 9408474697. The next prime is 9408474721. The reversal of 9408474720 is 274748049.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9408474721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9493425 + ... + 9494415.

It is an arithmetic number, because the mean of its divisors is an integer number (117804960).

Almost surely, 2^9408474720 is an apocalyptic number.

9408474720 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 9408474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963914240).

9408474720 is an abundant number, since it is smaller than the sum of its proper divisors (24519353760).

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

9408474720 is a wasteful number, since it uses less digits than its factorization.

9408474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 9408474720 is about 96997.2923333430. The cubic root of 9408474720 is about 2111.0883418987.

The spelling of 9408474720 in words is "nine billion, four hundred eight million, four hundred seventy-four thousand, seven hundred twenty".