248443200 has 336 divisors, whose sum is σ = 929761920. Its totient is φ = 65318400.

The previous prime is 248443177. The next prime is 248443211. The reversal of 248443200 is 2344842.

It is a happy number.

248443200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499165 + ... + 3499235.

Almost surely, 2^248443200 is an apocalyptic number.

248443200 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 248443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464880960).

248443200 is an abundant number, since it is smaller than the sum of its proper divisors (681318720).

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

248443200 is an frugal number, since it uses more digits than its factorization.

248443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 248443200 is about 15762.0810808725. The cubic root of 248443200 is about 628.6501711664.

The spelling of 248443200 in words is "two hundred forty-eight million, four hundred forty-three thousand, two hundred".