488457665280 has 1152 divisors, whose sum is σ = 2041231933440. Its totient is φ = 109459537920.

The previous prime is 488457665279. The next prime is 488457665281. The reversal of 488457665280 is 82566754884.

488457665280 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 576 + 6 + 52 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488457665279) and next prime (488457665281).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (488457665281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236769529 + ... + 236771591.

It is an arithmetic number, because the mean of its divisors is an integer number (1771902720).

Almost surely, 2^488457665280 is an apocalyptic number.

488457665280 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 488457665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020615966720).

488457665280 is an abundant number, since it is smaller than the sum of its proper divisors (1552774268160).

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

488457665280 is a wasteful number, since it uses less digits than its factorization.

488457665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 488457665280 in words is "four hundred eighty-eight billion, four hundred fifty-seven million, six hundred sixty-five thousand, two hundred eighty".