480636112 has 80 divisors (see below), whose sum is σ = 1065556800. Its totient is φ = 208051200.

The previous prime is 480636097. The next prime is 480636113. The reversal of 480636112 is 211636084.

It is a happy number.

It is a super-3 number, since 3×480636112³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480636113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309514 + ... + 311062.

It is an arithmetic number, because the mean of its divisors is an integer number (13319460).

Almost surely, 2^480636112 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 480636112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532778400).

480636112 is an abundant number, since it is smaller than the sum of its proper divisors (584920688).

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

480636112 is a wasteful number, since it uses less digits than its factorization.

480636112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 480636112 is about 21923.4146975329. The cubic root of 480636112 is about 783.3192497644.

The spelling of 480636112 in words is "four hundred eighty million, six hundred thirty-six thousand, one hundred twelve".