480387317760 has 1920 divisors, whose sum is σ = 2174260838400. Its totient is φ = 98099527680.

The previous prime is 480387317731. The next prime is 480387317833. The reversal of 480387317760 is 67713783084.

480387317760 is a `hidden beast` number, since 480 + 3 + 8 + 7 + 31 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×480387317760² (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 = 480387317697 and 480387317706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6766018525 + ... + 6766018595.

It is an arithmetic number, because the mean of its divisors is an integer number (1132427520).

Almost surely, 2^480387317760 is an apocalyptic number.

480387317760 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 480387317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087130419200).

480387317760 is an abundant number, since it is smaller than the sum of its proper divisors (1693873520640).

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

480387317760 is a wasteful number, since it uses less digits than its factorization.

480387317760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 480387317760 in words is "four hundred eighty billion, three hundred eighty-seven million, three hundred seventeen thousand, seven hundred sixty".