248768496 has 100 divisors (see below), whose sum is σ = 744948600. Its totient is φ = 80051328.

The previous prime is 248768477. The next prime is 248768543. The reversal of 248768496 is 694867842.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34275 + ... + 40893.

It is an arithmetic number, because the mean of its divisors is an integer number (7449486).

Almost surely, 2^248768496 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 248768496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372474300).

248768496 is an abundant number, since it is smaller than the sum of its proper divisors (496180104).

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

248768496 is a wasteful number, since it uses less digits than its factorization.

248768496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668 (or 6653 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 248768496 is about 15772.3966473076. The cubic root of 248768496 is about 628.9244232542.

The spelling of 248768496 in words is "two hundred forty-eight million, seven hundred sixty-eight thousand, four hundred ninety-six".