488143584 has 120 divisors (see below), whose sum is σ = 1453553640. Its totient is φ = 160683264.

The previous prime is 488143583. The next prime is 488143603. The reversal of 488143584 is 485341884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488143583) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 214002 + ... + 216270.

It is an arithmetic number, because the mean of its divisors is an integer number (12112947).

Almost surely, 2^488143584 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 488143584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726776820).

488143584 is an abundant number, since it is smaller than the sum of its proper divisors (965410056).

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

488143584 is a wasteful number, since it uses less digits than its factorization.

488143584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2357 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 488143584 is about 22093.9716664976. The cubic root of 488143584 is about 787.3766446240.

The spelling of 488143584 in words is "four hundred eighty-eight million, one hundred forty-three thousand, five hundred eighty-four".