488253055083480 has 384 divisors, whose sum is σ = 1724415443712000. Its totient is φ = 119355728394240.

The previous prime is 488253055083427. The next prime is 488253055083583. The reversal of 488253055083480 is 84380550352884.

488253055083480 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 5 + 30 + 550 + 8 + 3 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952551339 + ... + 1952801381.

It is an arithmetic number, because the mean of its divisors is an integer number (4490665218000).

Almost surely, 2^{488253055083480} is an apocalyptic number.

488253055083480 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 488253055083480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862207721856000).

488253055083480 is an abundant number, since it is smaller than the sum of its proper divisors (1236162388628520).

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

488253055083480 is a wasteful number, since it uses less digits than its factorization.

488253055083480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259319 (or 259312 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 63.

The spelling of 488253055083480 in words is "four hundred eighty-eight trillion, two hundred fifty-three billion, fifty-five million, eighty-three thousand, four hundred eighty".