9000433104 has 160 divisors (see below), whose sum is σ = 25451704320. Its totient is φ = 2724212736.

The previous prime is 9000433061. The next prime is 9000433109. The reversal of 9000433104 is 4013340009.

9000433104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000433109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10856562 + ... + 10857390.

It is an arithmetic number, because the mean of its divisors is an integer number (159073152).

Almost surely, 2^9000433104 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 9000433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725852160).

9000433104 is an abundant number, since it is smaller than the sum of its proper divisors (16451271216).

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

9000433104 is a wasteful number, since it uses less digits than its factorization.

9000433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 9000433104 is about 94870.6124360964. The cubic root of 9000433104 is about 2080.1171889102.

The spelling of 9000433104 in words is "nine billion, four hundred thirty-three thousand, one hundred four".