248883712 has 160 divisors (see below), whose sum is σ = 636387840. Its totient is φ = 94433280.

The previous prime is 248883703. The next prime is 248883737. The reversal of 248883712 is 217388842.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325963 + ... + 2326069.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2^248883712 is an apocalyptic number.

248883712 is a gapful number since it is divisible by the number (22) 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 248883712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318193920).

248883712 is an abundant number, since it is smaller than the sum of its proper divisors (387504128).

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

248883712 is a wasteful number, since it uses less digits than its factorization.

248883712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its digits is 172032, while the sum is 43.

The square root of 248883712 is about 15776.0486814665. The cubic root of 248883712 is about 629.0215027660.

The spelling of 248883712 in words is "two hundred forty-eight million, eight hundred eighty-three thousand, seven hundred twelve".