480531785616 has 135 divisors (see below), whose sum is σ = 1368674536593. Its totient is φ = 157385036160.

The previous prime is 480531785603. The next prime is 480531785663. The reversal of 480531785616 is 616587135084.

It is a happy number.

The square root of 480531785616 is 693204.

It is a perfect power (a square), and thus also a powerful number.

480531785616 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 3 + 1 + 78 + 561 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15626000016 + 464905785600 = 125004^2 + 681840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 507424855 + ... + 507425801.

Almost surely, 2^480531785616 is an apocalyptic number.

480531785616 is the 693204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480531785616

480531785616 is an abundant number, since it is smaller than the sum of its proper divisors (888142750977).

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

480531785616 is an frugal number, since it uses more digits than its factorization.

480531785616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 480531785616 in words is "four hundred eighty billion, five hundred thirty-one million, seven hundred eighty-five thousand, six hundred sixteen".