488643584 has 176 divisors, whose sum is σ = 1188504576. Its totient is φ = 197836800.

The previous prime is 488643583. The next prime is 488643587. The reversal of 488643584 is 485346884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

Its product of digits (2949120) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488643583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6882269 + ... + 6882339.

Almost surely, 2^488643584 is an apocalyptic number.

488643584 is a gapful number since it is divisible by the number (44) 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 488643584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594252288).

488643584 is an abundant number, since it is smaller than the sum of its proper divisors (699860992).

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

488643584 is a wasteful number, since it uses less digits than its factorization.

488643584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 50.

The square root of 488643584 is about 22105.2840741756. The cubic root of 488643584 is about 787.6453865781.

The spelling of 488643584 in words is "four hundred eighty-eight million, six hundred forty-three thousand, five hundred eighty-four".