480971289600 has 1584 divisors, whose sum is σ = 2009952247680. Its totient is φ = 108999475200.

The previous prime is 480971289563. The next prime is 480971289649. The reversal of 480971289600 is 6982179084.

480971289600 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 7 + 1 + 28 + 9 + 600 = 666.

It is a super-3 number, since 3×480971289600³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1711641460 + ... + 1711641740.

Almost surely, 2^480971289600 is an apocalyptic number.

480971289600 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 480971289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004976123840).

480971289600 is an abundant number, since it is smaller than the sum of its proper divisors (1528980958080).

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

480971289600 is a wasteful number, since it uses less digits than its factorization.

480971289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 480971289600 in words is "four hundred eighty billion, nine hundred seventy-one million, two hundred eighty-nine thousand, six hundred".