248475008 has 64 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 115960320.

The previous prime is 248475001. The next prime is 248475083. The reversal of 248475008 is 800574842.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248475001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171953 + ... + 173391.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^248475008 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 248475008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

248475008 is an abundant number, since it is smaller than the sum of its proper divisors (280292992).

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

248475008 is a wasteful number, since it uses less digits than its factorization.

248475008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 248475008 is about 15763.0900523977. The cubic root of 248475008 is about 628.6769985611.

The spelling of 248475008 in words is "two hundred forty-eight million, four hundred seventy-five thousand, eight".