480947865600 has 288 divisors, whose sum is σ = 1612376176320. Its totient is φ = 126443520000.

The previous prime is 480947865547. The next prime is 480947865647. The reversal of 480947865600 is 6568749084.

It is a super-3 number, since 3×480947865600³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10883550 + ... + 10927650.

It is an arithmetic number, because the mean of its divisors is an integer number (5598528390).

Almost surely, 2^480947865600 is an apocalyptic number.

480947865600 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 480947865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806188088160).

480947865600 is an abundant number, since it is smaller than the sum of its proper divisors (1131428310720).

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

480947865600 is a wasteful number, since it uses less digits than its factorization.

480947865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44207 (or 44182 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 480947865600 in words is "four hundred eighty billion, nine hundred forty-seven million, eight hundred sixty-five thousand, six hundred".