248096400 has 240 divisors, whose sum is σ = 846910080. Its totient is φ = 61952000.

The previous prime is 248096399. The next prime is 248096411. The reversal of 248096400 is 4690842.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2456350 + ... + 2456450.

It is an arithmetic number, because the mean of its divisors is an integer number (3528792).

Almost surely, 2^248096400 is an apocalyptic number.

248096400 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 248096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423455040).

248096400 is an abundant number, since it is smaller than the sum of its proper divisors (598813680).

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

248096400 is a wasteful number, since it uses less digits than its factorization.

248096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 248096400 is about 15751.0761537109. The cubic root of 248096400 is about 628.3575256035.

The spelling of 248096400 in words is "two hundred forty-eight million, ninety-six thousand, four hundred".