488168208 has 200 divisors, whose sum is σ = 1559575776. Its totient is φ = 147407040.

The previous prime is 488168203. The next prime is 488168237. The reversal of 488168208 is 802861884.

It is a happy number.

488168208 is a `hidden beast` number, since 488 + 168 + 2 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (488168201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1724835 + ... + 1725117.

Almost surely, 2^488168208 is an apocalyptic number.

488168208 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 488168208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779787888).

488168208 is an abundant number, since it is smaller than the sum of its proper divisors (1071407568).

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

488168208 is a wasteful number, since it uses less digits than its factorization.

488168208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 488168208 is about 22094.5289155483. The cubic root of 488168208 is about 787.3898839229.

The spelling of 488168208 in words is "four hundred eighty-eight million, one hundred sixty-eight thousand, two hundred eight".