488179968 has 144 divisors (see below), whose sum is σ = 1403982720. Its totient is φ = 150126592.

The previous prime is 488179957. The next prime is 488180009. The reversal of 488179968 is 869971884.

Its product of digits (6967296) is a multiple of the sum of its prime factors (1024).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511780 + ... + 512732.

It is an arithmetic number, because the mean of its divisors is an integer number (9749880).

Almost surely, 2^488179968 is an apocalyptic number.

488179968 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 488179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701991360).

488179968 is an abundant number, since it is smaller than the sum of its proper divisors (915802752).

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

488179968 is a wasteful number, since it uses less digits than its factorization.

488179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 60.

The square root of 488179968 is about 22094.7950431770. The cubic root of 488179968 is about 787.3962066279.

It can be divided in two parts, 48817 and 9968, that added together give a palindrome (58785).

The spelling of 488179968 in words is "four hundred eighty-eight million, one hundred seventy-nine thousand, nine hundred sixty-eight".