488073168 has 160 divisors (see below), whose sum is σ = 1537996800. Its totient is φ = 146966400.

The previous prime is 488073167. The next prime is 488073199. The reversal of 488073168 is 861370884.

488073168 is a `hidden beast` number, since 488 + 0 + 7 + 3 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488073167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287603 + ... + 1287981.

It is an arithmetic number, because the mean of its divisors is an integer number (9612480).

Almost surely, 2^488073168 is an apocalyptic number.

488073168 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 488073168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768998400).

488073168 is an abundant number, since it is smaller than the sum of its proper divisors (1049923632).

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

488073168 is a wasteful number, since it uses less digits than its factorization.

488073168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 488073168 is about 22092.3780521699. The cubic root of 488073168 is about 787.3387824172.

The spelling of 488073168 in words is "four hundred eighty-eight million, seventy-three thousand, one hundred sixty-eight".