248844096 has 224 divisors, whose sum is σ = 796625280. Its totient is φ = 75866112.

The previous prime is 248844073. The next prime is 248844109. The reversal of 248844096 is 690448842.

It is a super-2 number, since 2×248844096² = 123846768228114432, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1263070 + ... + 1263266.

Almost surely, 2^248844096 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 248844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398312640).

248844096 is an abundant number, since it is smaller than the sum of its proper divisors (547781184).

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

248844096 is a wasteful number, since it uses less digits than its factorization.

248844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248844096 is about 15774.7930572797. The cubic root of 248844096 is about 628.9881262171.

The spelling of 248844096 in words is "two hundred forty-eight million, eight hundred forty-four thousand, ninety-six".