480800803840 has 352 divisors, whose sum is σ = 1379493016704. Its totient is φ = 157341450240.

The previous prime is 480800803837. The next prime is 480800803891. The reversal of 480800803840 is 48308008084.

It is a super-3 number, since 3×480800803840³ (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 31 ways as a sum of consecutive naturals, for example, 70278820 + ... + 70285660.

It is an arithmetic number, because the mean of its divisors is an integer number (3919014252).

Almost surely, 2^480800803840 is an apocalyptic number.

480800803840 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 480800803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689746508352).

480800803840 is an abundant number, since it is smaller than the sum of its proper divisors (898692212864).

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

480800803840 is a wasteful number, since it uses less digits than its factorization.

480800803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 480800803840 in words is "four hundred eighty billion, eight hundred million, eight hundred three thousand, eight hundred forty".