9004800 has 216 divisors, whose sum is σ = 34470016. Its totient is φ = 2027520.

The previous prime is 9004771. The next prime is 9004811. The reversal of 9004800 is 84009.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134367 + ... + 134433.

Almost surely, 2^9004800 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 9004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235008).

9004800 is an abundant number, since it is smaller than the sum of its proper divisors (25465216).

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

9004800 is a wasteful number, since it uses less digits than its factorization.

9004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 9004800 is about 3000.7998933618. The cubic root of 9004800 is about 208.0453550010.

Adding to 9004800 its reverse (84009), we get a palindrome (9088809).

The spelling of 9004800 in words is "nine million, four thousand, eight hundred".