488730144 has 192 divisors, whose sum is σ = 1567641600. Its totient is φ = 130142208.

The previous prime is 488730091. The next prime is 488730157. The reversal of 488730144 is 441037884.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2044777 + ... + 2045015.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^488730144 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 488730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

488730144 is an abundant number, since it is smaller than the sum of its proper divisors (1078911456).

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

488730144 is a wasteful number, since it uses less digits than its factorization.

488730144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 488730144 is about 22107.2418903852. The cubic root of 488730144 is about 787.6918925670.

The spelling of 488730144 in words is "four hundred eighty-eight million, seven hundred thirty thousand, one hundred forty-four".