480576300 has 72 divisors (see below), whose sum is σ = 1413315792. Its totient is φ = 126048000.

The previous prime is 480576287. The next prime is 480576311. The reversal of 480576300 is 3675084.

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, 5170 + ... + 31430.

It is an arithmetic number, because the mean of its divisors is an integer number (19629386).

Almost surely, 2^480576300 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 480576300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706657896).

480576300 is an abundant number, since it is smaller than the sum of its proper divisors (932739492).

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

480576300 is a wasteful number, since it uses less digits than its factorization.

480576300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26339 (or 26332 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 480576300 is about 21922.0505427754. The cubic root of 480576300 is about 783.2867554418.

The spelling of 480576300 in words is "four hundred eighty million, five hundred seventy-six thousand, three hundred".