488014517760 has 320 divisors, whose sum is σ = 1945088792064. Its totient is φ = 101405491200.

The previous prime is 488014517737. The next prime is 488014517777. The reversal of 488014517760 is 67715410884.

488014517760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178740 + ... + 1003980.

Almost surely, 2^488014517760 is an apocalyptic number.

488014517760 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 488014517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972544396032).

488014517760 is an abundant number, since it is smaller than the sum of its proper divisors (1457074274304).

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

488014517760 is a wasteful number, since it uses less digits than its factorization.

488014517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825285 (or 825269 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 488014517760 in words is "four hundred eighty-eight billion, fourteen million, five hundred seventeen thousand, seven hundred sixty".