480789824580 has 384 divisors, whose sum is σ = 1665152778240. Its totient is φ = 114369615360.

The previous prime is 480789824563. The next prime is 480789824597. The reversal of 480789824580 is 85428987084.

480789824580 is a `hidden beast` number, since 48 + 0 + 7 + 8 + 9 + 8 + 2 + 4 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (480789824563) and next prime (480789824597).

It is a super-3 number, since 3×480789824580³ (a number of 36 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 240033859 + ... + 240035861.

It is an arithmetic number, because the mean of its divisors is an integer number (4336335360).

Almost surely, 2^480789824580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480789824580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832576389120).

480789824580 is an abundant number, since it is smaller than the sum of its proper divisors (1184362953660).

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

480789824580 is a wasteful number, since it uses less digits than its factorization.

480789824580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 480789824580 in words is "four hundred eighty billion, seven hundred eighty-nine million, eight hundred twenty-four thousand, five hundred eighty".