488633208447424 has 448 divisors, whose sum is σ = 1086135144740352. Its totient is φ = 217116930867200.

The previous prime is 488633208447379. The next prime is 488633208447557. The reversal of 488633208447424 is 424744802336884.

It is a happy number.

It is a super-2 number, since 2×488633208447424² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 488633208447424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162282698079 + ... + 162282701089.

It is an arithmetic number, because the mean of its divisors is an integer number (2424408805224).

Almost surely, 2^{488633208447424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488633208447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543067572370176).

488633208447424 is an abundant number, since it is smaller than the sum of its proper divisors (597501936292928).

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

488633208447424 is a wasteful number, since it uses less digits than its factorization.

488633208447424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 67.

The spelling of 488633208447424 in words is "four hundred eighty-eight trillion, six hundred thirty-three billion, two hundred eight million, four hundred forty-seven thousand, four hundred twenty-four".