248813208 has 160 divisors (see below), whose sum is σ = 838675200. Its totient is φ = 67324608.

The previous prime is 248813203. The next prime is 248813233. The reversal of 248813208 is 802318842.

It is a happy number.

248813208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248813203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84741 + ... + 87627.

It is an arithmetic number, because the mean of its divisors is an integer number (5241720).

Almost surely, 2^248813208 is an apocalyptic number.

248813208 is a gapful number since it is divisible by the number (28) 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 248813208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419337600).

248813208 is an abundant number, since it is smaller than the sum of its proper divisors (589861992).

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

248813208 is a wasteful number, since it uses less digits than its factorization.

248813208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 248813208 is about 15773.8139966211. The cubic root of 248813208 is about 628.9621005656.

The spelling of 248813208 in words is "two hundred forty-eight million, eight hundred thirteen thousand, two hundred eight".