480055716 has 144 divisors (see below), whose sum is σ = 1438295040. Its totient is φ = 132157440.

The previous prime is 480055711. The next prime is 480055717. The reversal of 480055716 is 617550084.

480055716 is a `hidden beast` number, since 4 + 80 + 0 + 5 + 571 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (480055711) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1001965 + ... + 1002443.

It is an arithmetic number, because the mean of its divisors is an integer number (9988160).

Almost surely, 2^480055716 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 480055716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719147520).

480055716 is an abundant number, since it is smaller than the sum of its proper divisors (958239324).

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

480055716 is a wasteful number, since it uses less digits than its factorization.

480055716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 480055716 is about 21910.1738012276. The cubic root of 480055716 is about 783.0038216125.

It can be divided in two parts, 4800 and 55716, that added together give a square (60516 = 246²).

The spelling of 480055716 in words is "four hundred eighty million, fifty-five thousand, seven hundred sixteen".