480442580352 has 768 divisors, whose sum is σ = 1726515648000. Its totient is φ = 125114056704.

The previous prime is 480442580339. The next prime is 480442580353. The reversal of 480442580352 is 253085244084.

480442580352 is a `hidden beast` number, since 4 + 8 + 0 + 44 + 258 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 480442580298 and 480442580307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480442580353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878322543 + ... + 878323089.

It is an arithmetic number, because the mean of its divisors is an integer number (2248067250).

Almost surely, 2^480442580352 is an apocalyptic number.

480442580352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480442580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863257824000).

480442580352 is an abundant number, since it is smaller than the sum of its proper divisors (1246073067648).

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

480442580352 is a wasteful number, since it uses less digits than its factorization.

480442580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 480442580352 in words is "four hundred eighty billion, four hundred forty-two million, five hundred eighty thousand, three hundred fifty-two".