480548194560 has 720 divisors, whose sum is σ = 2068617936000. Its totient is φ = 104055570432.

The previous prime is 480548194559. The next prime is 480548194619. The reversal of 480548194560 is 65491845084.

480548194560 is a `hidden beast` number, since 4 + 8 + 0 + 548 + 1 + 94 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×480548194560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 480548194497 and 480548194506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13772016 + ... + 13806864.

Almost surely, 2^480548194560 is an apocalyptic number.

480548194560 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 480548194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034308968000).

480548194560 is an abundant number, since it is smaller than the sum of its proper divisors (1588069741440).

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

480548194560 is a wasteful number, since it uses less digits than its factorization.

480548194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34908 (or 34885 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 480548194560 in words is "four hundred eighty billion, five hundred forty-eight million, one hundred ninety-four thousand, five hundred sixty".