480655307232 has 192 divisors, whose sum is σ = 1412934969600. Its totient is φ = 158963212800.

The previous prime is 480655307227. The next prime is 480655307239. The reversal of 480655307232 is 232703556084.

480655307232 is a `hidden beast` number, since 4 + 80 + 6 + 5 + 530 + 7 + 2 + 32 = 666.

It is a super-3 number, since 3×480655307232³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480655307239) 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, 64505107 + ... + 64512557.

It is an arithmetic number, because the mean of its divisors is an integer number (7359036300).

Almost surely, 2^480655307232 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 480655307232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706467484800).

480655307232 is an abundant number, since it is smaller than the sum of its proper divisors (932279662368).

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

480655307232 is a wasteful number, since it uses less digits than its factorization.

480655307232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 480655307232 in words is "four hundred eighty billion, six hundred fifty-five million, three hundred seven thousand, two hundred thirty-two".