248263200 has 324 divisors, whose sum is σ = 928780398. Its totient is φ = 62361600.

The previous prime is 248263199. The next prime is 248263201. The reversal of 248263200 is 2362842.

248263200 is a `hidden beast` number, since 24 + 8 + 2 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248263199) and next prime (248263201).

It can be written as a sum of positive squares in 9 ways, for example, as 11664 + 248251536 = 108^2 + 15756^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (248263201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6055180 + ... + 6055220.

Almost surely, 2^248263200 is an apocalyptic number.

248263200 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 248263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464390199).

248263200 is an abundant number, since it is smaller than the sum of its proper divisors (680517198).

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

248263200 is a wasteful number, since it uses less digits than its factorization.

248263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 248263200 is about 15756.3701403591. The cubic root of 248263200 is about 628.4983130225.

The spelling of 248263200 in words is "two hundred forty-eight million, two hundred sixty-three thousand, two hundred".