488630592 has 168 divisors, whose sum is σ = 1497787200. Its totient is φ = 151769088.

The previous prime is 488630573. The next prime is 488630617. The reversal of 488630592 is 295036884.

488630592 is a `hidden beast` number, since 4 + 8 + 8 + 630 + 5 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360909 + ... + 1361267.

It is an arithmetic number, because the mean of its divisors is an integer number (8915400).

Almost surely, 2^488630592 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 488630592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600).

488630592 is an abundant number, since it is smaller than the sum of its proper divisors (1009156608).

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

488630592 is a wasteful number, since it uses less digits than its factorization.

488630592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 488630592 is about 22104.9902058336. The cubic root of 488630592 is about 787.6384059076.

The spelling of 488630592 in words is "four hundred eighty-eight million, six hundred thirty thousand, five hundred ninety-two".