480648056 has 96 divisors (see below), whose sum is σ = 1112457600. Its totient is φ = 193777920.

The previous prime is 480648037. The next prime is 480648067. The reversal of 480648056 is 650846084.

480648056 = T₂₈₀ + T₂₈₁ + ... + T₁₄₂₆.

It is a super-3 number, since 3×480648056³ (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, 449090 + ... + 450158.

It is an arithmetic number, because the mean of its divisors is an integer number (11588100).

Almost surely, 2^480648056 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 480648056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556228800).

480648056 is an abundant number, since it is smaller than the sum of its proper divisors (631809544).

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

480648056 is a wasteful number, since it uses less digits than its factorization.

480648056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 480648056 is about 21923.6870986611. The cubic root of 480648056 is about 783.3257383097.

The spelling of 480648056 in words is "four hundred eighty million, six hundred forty-eight thousand, fifty-six".