248038400 has 66 divisors (see below), whose sum is σ = 614898330. Its totient is φ = 99205120.

The previous prime is 248038393. The next prime is 248038423. The reversal of 248038400 is 4830842.

It can be written as a sum of positive squares in 3 ways, for example, as 18939904 + 229098496 = 4352^2 + 15136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20756 + ... + 30444.

Almost surely, 2^248038400 is an apocalyptic number.

248038400 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 248038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307449165).

248038400 is an abundant number, since it is smaller than the sum of its proper divisors (366859930).

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

248038400 is an equidigital number, since it uses as much as digits as its factorization.

248038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 248038400 is about 15749.2349020516. The cubic root of 248038400 is about 628.3085559599.

The spelling of 248038400 in words is "two hundred forty-eight million, thirty-eight thousand, four hundred".