488598144 has 64 divisors (see below), whose sum is σ = 1316191680. Its totient is φ = 160563200.

The previous prime is 488598137. The next prime is 488598151. The reversal of 488598144 is 441895884.

It is an interprime number because it is at equal distance from previous prime (488598137) and next prime (488598151).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18304 + ... + 36224.

It is an arithmetic number, because the mean of its divisors is an integer number (20565495).

Almost surely, 2^488598144 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 488598144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658095840).

488598144 is an abundant number, since it is smaller than the sum of its proper divisors (827593536).

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

488598144 is a wasteful number, since it uses less digits than its factorization.

488598144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18009 (or 17997 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 488598144 is about 22104.2562417287. The cubic root of 488598144 is about 787.6209708846.

The spelling of 488598144 in words is "four hundred eighty-eight million, five hundred ninety-eight thousand, one hundred forty-four".