4533104800 has 144 divisors (see below), whose sum is σ = 12685438080. Its totient is φ = 1549532160.

The previous prime is 4533104789. The next prime is 4533104801. The reversal of 4533104800 is 84013354.

It is a super-3 number, since 3×4533104800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4533104801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2222181 + ... + 2224219.

It is an arithmetic number, because the mean of its divisors is an integer number (88093320).

Almost surely, 2^4533104800 is an apocalyptic number.

4533104800 is a gapful number since it is divisible by the number (40) 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 4533104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342719040).

4533104800 is an abundant number, since it is smaller than the sum of its proper divisors (8152333280).

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

4533104800 is a wasteful number, since it uses less digits than its factorization.

4533104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4533104800 is about 67328.3357881360. The cubic root of 4533104800 is about 1655.0022422790.

The spelling of 4533104800 in words is "four billion, five hundred thirty-three million, one hundred four thousand, eight hundred".