248908338 has 72 divisors (see below), whose sum is σ = 642037968. Its totient is φ = 69452208.

The previous prime is 248908327. The next prime is 248908349. The reversal of 248908338 is 833809842.

It is an interprime number because it is at equal distance from previous prime (248908327) and next prime (248908349).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 248908293 and 248908302.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 34645 + ... + 41207.

It is an arithmetic number, because the mean of its divisors is an integer number (8917194).

Almost surely, 2^248908338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248908338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321018984).

248908338 is an abundant number, since it is smaller than the sum of its proper divisors (393129630).

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

248908338 is a wasteful number, since it uses less digits than its factorization.

248908338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 248908338 is about 15776.8291491034. The cubic root of 248908338 is about 629.0422484287.

The spelling of 248908338 in words is "two hundred forty-eight million, nine hundred eight thousand, three hundred thirty-eight".