488786874240 has 512 divisors, whose sum is σ = 1885954867200. Its totient is φ = 105184272384.

The previous prime is 488786874223. The next prime is 488786874253. The reversal of 488786874240 is 42478687884.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41617809 + ... + 41629551.

It is an arithmetic number, because the mean of its divisors is an integer number (3683505600).

Almost surely, 2^488786874240 is an apocalyptic number.

488786874240 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 488786874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942977433600).

488786874240 is an abundant number, since it is smaller than the sum of its proper divisors (1397167992960).

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

488786874240 is a wasteful number, since it uses less digits than its factorization.

488786874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 154140672, while the sum is 66.

The spelling of 488786874240 in words is "four hundred eighty-eight billion, seven hundred eighty-six million, eight hundred seventy-four thousand, two hundred forty".