480531604156560 has 240 divisors, whose sum is σ = 1808073953449920. Its totient is φ = 113344063810560.

The previous prime is 480531604156559. The next prime is 480531604156607. The reversal of 480531604156560 is 65651406135084.

480531604156560 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 3 + 1 + 60 + 4 + 15 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 480531604156497 and 480531604156506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819614830 + ... + 820200909.

It is an arithmetic number, because the mean of its divisors is an integer number (7533641472708).

Almost surely, 2^{480531604156560} is an apocalyptic number.

480531604156560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480531604156560 is an abundant number, since it is smaller than the sum of its proper divisors (1327542349293360).

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

480531604156560 is a wasteful number, since it uses less digits than its factorization.

480531604156560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639815806 (or 1639815797 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 480531604156560 in words is "four hundred eighty trillion, five hundred thirty-one billion, six hundred four million, one hundred fifty-six thousand, five hundred sixty".