480611100 has 72 divisors (see below), whose sum is σ = 1411381888. Its totient is φ = 126244800.

The previous prime is 480611083. The next prime is 480611111. The reversal of 480611100 is 1116084.

It is a super-3 number, since 3×480611100³ (a number of 27 digits) contains 333 as substring.

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, 8145 + ... + 32055.

Almost surely, 2^480611100 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 480611100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705690944).

480611100 is an abundant number, since it is smaller than the sum of its proper divisors (930770788).

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

480611100 is a wasteful number, since it uses less digits than its factorization.

480611100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23995 (or 23988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 480611100 is about 21922.8442497774. The cubic root of 480611100 is about 783.3056617155.

Adding to 480611100 its reverse (1116084), we get a palindrome (481727184).

The spelling of 480611100 in words is "four hundred eighty million, six hundred eleven thousand, one hundred".