488814335280 has 200 divisors, whose sum is σ = 1698140716800. Its totient is φ = 130318543872.

The previous prime is 488814335203. The next prime is 488814335281. The reversal of 488814335280 is 82533418884.

488814335280 is a `hidden beast` number, since 4 + 8 + 8 + 81 + 4 + 33 + 528 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (488814335281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39385716 + ... + 39398124.

It is an arithmetic number, because the mean of its divisors is an integer number (8490703584).

Almost surely, 2^488814335280 is an apocalyptic number.

488814335280 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 488814335280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849070358400).

488814335280 is an abundant number, since it is smaller than the sum of its proper divisors (1209326381520).

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

488814335280 is a wasteful number, since it uses less digits than its factorization.

488814335280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18513 (or 18498 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 488814335280 in words is "four hundred eighty-eight billion, eight hundred fourteen million, three hundred thirty-five thousand, two hundred eighty".