4533480900 has 432 divisors, whose sum is σ = 16136300544. Its totient is φ = 1097349120.

The previous prime is 4533480893. The next prime is 4533480901. The reversal of 4533480900 is 90843354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4533480901) 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 143 ways as a sum of consecutive naturals, for example, 35696637 + ... + 35696763.

Almost surely, 2^4533480900 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 4533480900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8068150272).

4533480900 is an abundant number, since it is smaller than the sum of its proper divisors (11602819644).

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

4533480900 is a wasteful number, since it uses less digits than its factorization.

4533480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4533480900 is about 67331.1287592893. The cubic root of 4533480900 is about 1655.0480114341.

The spelling of 4533480900 in words is "four billion, five hundred thirty-three million, four hundred eighty thousand, nine hundred".