480311598312 has 512 divisors, whose sum is σ = 1693710950400. Its totient is φ = 122736384000.

The previous prime is 480311598307. The next prime is 480311598317. The reversal of 480311598312 is 213895113084.

480311598312 is a `hidden beast` number, since 48 + 0 + 3 + 1 + 1 + 598 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (480311598307) and next prime (480311598317).

It is not an unprimeable number, because it can be changed into a prime (480311598317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121688323 + ... + 121692269.

It is an arithmetic number, because the mean of its divisors is an integer number (3308029200).

Almost surely, 2^480311598312 is an apocalyptic number.

480311598312 is a gapful number since it is divisible by the number (42) 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 480311598312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846855475200).

480311598312 is an abundant number, since it is smaller than the sum of its proper divisors (1213399352088).

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

480311598312 is a wasteful number, since it uses less digits than its factorization.

480311598312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 480311598312 in words is "four hundred eighty billion, three hundred eleven million, five hundred ninety-eight thousand, three hundred twelve".