9004500 has 192 divisors, whose sum is σ = 31449600. Its totient is φ = 2217600.

The previous prime is 9004481. The next prime is 9004507. The reversal of 9004500 is 54009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310486 + ... + 310514.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^9004500 is an apocalyptic number.

9004500 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 9004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

9004500 is an abundant number, since it is smaller than the sum of its proper divisors (22445100).

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

9004500 is a wasteful number, since it uses less digits than its factorization.

9004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 9004500 is about 3000.7499062734. The cubic root of 9004500 is about 208.0430445925.

Adding to 9004500 its reverse (54009), we get a palindrome (9058509).

The spelling of 9004500 in words is "nine million, four thousand, five hundred".