488435080320 has 1280 divisors, whose sum is σ = 2006441902080. Its totient is φ = 112077250560.

The previous prime is 488435080283. The next prime is 488435080327. The reversal of 488435080320 is 23080534884.

488435080320 is a `hidden beast` number, since 4 + 88 + 43 + 508 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (488435080327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2190291729 + ... + 2190291951.

It is an arithmetic number, because the mean of its divisors is an integer number (1567532736).

Almost surely, 2^488435080320 is an apocalyptic number.

488435080320 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 488435080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003220951040).

488435080320 is an abundant number, since it is smaller than the sum of its proper divisors (1518006821760).

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

488435080320 is a wasteful number, since it uses less digits than its factorization.

488435080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 488435080320 in words is "four hundred eighty-eight billion, four hundred thirty-five million, eighty thousand, three hundred twenty".