488235168 has 192 divisors, whose sum is σ = 1509580800. Its totient is φ = 153204480.

The previous prime is 488235149. The next prime is 488235193. The reversal of 488235168 is 861532884.

488235168 is a `hidden beast` number, since 488 + 2 + 3 + 5 + 168 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1569733 + ... + 1570043.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^488235168 is an apocalyptic number.

488235168 is a gapful number since it is divisible by the number (48) 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 488235168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

488235168 is an abundant number, since it is smaller than the sum of its proper divisors (1021345632).

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

488235168 is a wasteful number, since it uses less digits than its factorization.

488235168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 488235168 is about 22096.0441708465. The cubic root of 488235168 is about 787.4258832740.

The spelling of 488235168 in words is "four hundred eighty-eight million, two hundred thirty-five thousand, one hundred sixty-eight".