480540522816 has 168 divisors, whose sum is σ = 1474452626400. Its totient is φ = 149177410560.

The previous prime is 480540522811. The next prime is 480540522841. The reversal of 480540522816 is 618225045084.

480540522816 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 40 + 522 + 81 + 6 = 666.

480540522816 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480540522811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273586 + ... + 1017806.

Almost surely, 2^480540522816 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 480540522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737226313200).

480540522816 is an abundant number, since it is smaller than the sum of its proper divisors (993912103584).

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

480540522816 is a wasteful number, since it uses less digits than its factorization.

480540522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744317 (or 744304 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 480540522816 in words is "four hundred eighty billion, five hundred forty million, five hundred twenty-two thousand, eight hundred sixteen".