9089475408 has 360 divisors, whose sum is σ = 29743518168. Its totient is φ = 2574434304.

The previous prime is 9089475403. The next prime is 9089475457. The reversal of 9089475408 is 8045749809.

9089475408 is a `hidden beast` number, since 9 + 0 + 8 + 94 + 7 + 540 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1729894464 + 7359580944 = 41592^2 + 85788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9089475403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28673266 + ... + 28673582.

Almost surely, 2^9089475408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9089475408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871759084).

9089475408 is an abundant number, since it is smaller than the sum of its proper divisors (20654042760).

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

9089475408 is a wasteful number, since it uses less digits than its factorization.

9089475408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9089475408 is about 95338.7403315148. The cubic root of 9089475408 is about 2086.9543030946.

The spelling of 9089475408 in words is "nine billion, eighty-nine million, four hundred seventy-five thousand, four hundred eight".