480688631280 has 1280 divisors, whose sum is σ = 2126743879680. Its totient is φ = 97940275200.

The previous prime is 480688631251. The next prime is 480688631333. The reversal of 480688631280 is 82136886084.

480688631280 is a `hidden beast` number, since 480 + 6 + 8 + 86 + 3 + 1 + 2 + 80 = 666.

It is a super-3 number, since 3×480688631280³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 162778284 + ... + 162781236.

It is an arithmetic number, because the mean of its divisors is an integer number (1661518656).

Almost surely, 2^480688631280 is an apocalyptic number.

480688631280 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 480688631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063371939840).

480688631280 is an abundant number, since it is smaller than the sum of its proper divisors (1646055248400).

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

480688631280 is a wasteful number, since it uses less digits than its factorization.

480688631280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 480688631280 in words is "four hundred eighty billion, six hundred eighty-eight million, six hundred thirty-one thousand, two hundred eighty".