248253696 has 216 divisors, whose sum is σ = 774839520. Its totient is φ = 76197888.

The previous prime is 248253689. The next prime is 248253721. The reversal of 248253696 is 696352842.

248253696 is a `hidden beast` number, since 24 + 8 + 2 + 536 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320075 + ... + 2320181.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2^248253696 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 248253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387419760).

248253696 is an abundant number, since it is smaller than the sum of its proper divisors (526585824).

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

248253696 is a wasteful number, since it uses less digits than its factorization.

248253696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 248253696 is about 15756.0685451670. The cubic root of 248253696 is about 628.4902928726.

The spelling of 248253696 in words is "two hundred forty-eight million, two hundred fifty-three thousand, six hundred ninety-six".