488117448 has 256 divisors, whose sum is σ = 1757952000. Its totient is φ = 121865472.

The previous prime is 488117417. The next prime is 488117449. The reversal of 488117448 is 844711884.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (488117449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372811 + ... + 374117.

It is an arithmetic number, because the mean of its divisors is an integer number (6867000).

Almost surely, 2^488117448 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 488117448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878976000).

488117448 is an abundant number, since it is smaller than the sum of its proper divisors (1269834552).

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

488117448 is a wasteful number, since it uses less digits than its factorization.

488117448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1351 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 488117448 is about 22093.3801850237. The cubic root of 488117448 is about 787.3625918986.

The spelling of 488117448 in words is "four hundred eighty-eight million, one hundred seventeen thousand, four hundred forty-eight".