248123200 has 168 divisors, whose sum is σ = 670234880. Its totient is φ = 89856000.

The previous prime is 248123167. The next prime is 248123231. The reversal of 248123200 is 2321842.

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, 1643125 + ... + 1643275.

Almost surely, 2^248123200 is an apocalyptic number.

248123200 is a gapful number since it is divisible by the number (20) 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 248123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335117440).

248123200 is an abundant number, since it is smaller than the sum of its proper divisors (422111680).

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

248123200 is a wasteful number, since it uses less digits than its factorization.

248123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 248123200 is about 15751.9268662599. The cubic root of 248123200 is about 628.3801503781.

The spelling of 248123200 in words is "two hundred forty-eight million, one hundred twenty-three thousand, two hundred".