480841056 has 192 divisors, whose sum is σ = 1564012800. Its totient is φ = 142829568.

The previous prime is 480841051. The next prime is 480841063. The reversal of 480841056 is 650148084.

It is a super-3 number, since 3×480841056³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480841056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480841051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278211 + ... + 279933.

It is an arithmetic number, because the mean of its divisors is an integer number (8145900).

Almost surely, 2^480841056 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 480841056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782006400).

480841056 is an abundant number, since it is smaller than the sum of its proper divisors (1083171744).

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

480841056 is a wasteful number, since it uses less digits than its factorization.

480841056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 480841056 is about 21928.0882887679. The cubic root of 480841056 is about 783.4305701334.

480841056 divided by its sum of digits (36) gives a triangular number (13356696 = T₅₁₆₈).

The spelling of 480841056 in words is "four hundred eighty million, eight hundred forty-one thousand, fifty-six".