480776112 has 60 divisors (see below), whose sum is σ = 1349263344. Its totient is φ = 159811200.

The previous prime is 480776083. The next prime is 480776129. The reversal of 480776112 is 211677084.

It is a super-3 number, since 3×480776112³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49237 + ... + 58187.

Almost surely, 2^480776112 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 480776112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674631672).

480776112 is an abundant number, since it is smaller than the sum of its proper divisors (868487232).

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

480776112 is a wasteful number, since it uses less digits than its factorization.

480776112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9338 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 480776112 is about 21926.6073983186. The cubic root of 480776112 is about 783.3952976283.

The spelling of 480776112 in words is "four hundred eighty million, seven hundred seventy-six thousand, one hundred twelve".