480859840320 has 336 divisors, whose sum is σ = 1627327248768. Its totient is φ = 120276746240.

The previous prime is 480859840319. The next prime is 480859840333. The reversal of 480859840320 is 23048958084.

It is a super-3 number, since 3×480859840320³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86281054 + ... + 86286626.

Almost surely, 2^480859840320 is an apocalyptic number.

480859840320 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 480859840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813663624384).

480859840320 is an abundant number, since it is smaller than the sum of its proper divisors (1146467408448).

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

480859840320 is a wasteful number, since it uses less digits than its factorization.

480859840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 480859840320 in words is "four hundred eighty billion, eight hundred fifty-nine million, eight hundred forty thousand, three hundred twenty".