9004282408 has 64 divisors (see below), whose sum is σ = 18942696000. Its totient is φ = 3976542720.

The previous prime is 9004282361. The next prime is 9004282423. The reversal of 9004282408 is 8042824009.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 15 ways as a sum of consecutive naturals, for example, 2951668 + ... + 2954716.

It is an arithmetic number, because the mean of its divisors is an integer number (295979625).

Almost surely, 2^9004282408 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 9004282408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471348000).

9004282408 is an abundant number, since it is smaller than the sum of its proper divisors (9938413592).

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

9004282408 is a wasteful number, since it uses less digits than its factorization.

9004282408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 9004282408 is about 94890.8973927426. The cubic root of 9004282408 is about 2080.4136880570.

The spelling of 9004282408 in words is "nine billion, four million, two hundred eighty-two thousand, four hundred eight".