948488208 has 160 divisors (see below), whose sum is σ = 2757680640. Its totient is φ = 279152640.

The previous prime is 948488201. The next prime is 948488231. The reversal of 948488208 is 802884849.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (948488201) 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, 2030791 + ... + 2031257.

It is an arithmetic number, because the mean of its divisors is an integer number (17235504).

Almost surely, 2^948488208 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 948488208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378840320).

948488208 is an abundant number, since it is smaller than the sum of its proper divisors (1809192432).

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

948488208 is a wasteful number, since it uses less digits than its factorization.

948488208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 948488208 is about 30797.5357455755. The cubic root of 948488208 is about 982.5258347744.

The spelling of 948488208 in words is "nine hundred forty-eight million, four hundred eighty-eight thousand, two hundred eight".