480396533760 has 1008 divisors, whose sum is σ = 1969960335408. Its totient is φ = 107347968000.

The previous prime is 480396533719. The next prime is 480396533777. The reversal of 480396533760 is 67335693084.

480396533760 is a `hidden beast` number, since 4 + 8 + 0 + 39 + 6 + 533 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 480396533697 and 480396533706.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 685301410 + ... + 685302110.

Almost surely, 2^480396533760 is an apocalyptic number.

480396533760 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 480396533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984980167704).

480396533760 is an abundant number, since it is smaller than the sum of its proper divisors (1489563801648).

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

480396533760 is a wasteful number, since it uses less digits than its factorization.

480396533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 480396533760 in words is "four hundred eighty billion, three hundred ninety-six million, five hundred thirty-three thousand, seven hundred sixty".