480968302100 has 144 divisors (see below), whose sum is σ = 1259307482496. Its totient is φ = 157080384000.

The previous prime is 480968302081. The next prime is 480968302117. The reversal of 480968302100 is 1203869084.

It is a super-3 number, since 3×480968302100³ (a number of 36 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 47 ways as a sum of consecutive naturals, for example, 74585 + ... + 983615.

Almost surely, 2^480968302100 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 480968302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629653741248).

480968302100 is an abundant number, since it is smaller than the sum of its proper divisors (778339180396).

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

480968302100 is a wasteful number, since it uses less digits than its factorization.

480968302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909106 (or 909099 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 480968302100 in words is "four hundred eighty billion, nine hundred sixty-eight million, three hundred two thousand, one hundred".