480318330624 has 288 divisors, whose sum is σ = 1446013900800. Its totient is φ = 140204359680.

The previous prime is 480318330619. The next prime is 480318330629. The reversal of 480318330624 is 426033813084.

It is an interprime number because it is at equal distance from previous prime (480318330619) and next prime (480318330629).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480318330629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117349122 + ... + 117353214.

It is an arithmetic number, because the mean of its divisors is an integer number (5020881600).

Almost surely, 2^480318330624 is an apocalyptic number.

480318330624 is a gapful number since it is divisible by the number (44) 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 480318330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723006950400).

480318330624 is an abundant number, since it is smaller than the sum of its proper divisors (965695570176).

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

480318330624 is a wasteful number, since it uses less digits than its factorization.

480318330624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 480318330624 in words is "four hundred eighty billion, three hundred eighteen million, three hundred thirty thousand, six hundred twenty-four".