480439618560 has 792 divisors, whose sum is σ = 1843248170400. Its totient is φ = 115617300480.

The previous prime is 480439618553. The next prime is 480439618573. The reversal of 480439618560 is 65816934084.

480439618560 is a `hidden beast` number, since 48 + 0 + 4 + 39 + 6 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a junction number, because it is equal to n+sod(n) for n = 480439618497 and 480439618506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1109560104 + ... + 1109560536.

Almost surely, 2^480439618560 is an apocalyptic number.

480439618560 is a gapful number since it is divisible by the number (40) 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 480439618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921624085200).

480439618560 is an abundant number, since it is smaller than the sum of its proper divisors (1362808551840).

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

480439618560 is a wasteful number, since it uses less digits than its factorization.

480439618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 480439618560 in words is "four hundred eighty billion, four hundred thirty-nine million, six hundred eighteen thousand, five hundred sixty".