248568900 has 216 divisors, whose sum is σ = 793032576. Its totient is φ = 60057600.

The previous prime is 248568899. The next prime is 248568911. The reversal of 248568900 is 9865842.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4074870 + ... + 4074930.

Almost surely, 2^248568900 is an apocalyptic number.

248568900 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 248568900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396516288).

248568900 is an abundant number, since it is smaller than the sum of its proper divisors (544463676).

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

248568900 is a wasteful number, since it uses less digits than its factorization.

248568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 248568900 is about 15766.0679942717. The cubic root of 248568900 is about 628.7561752796.

The spelling of 248568900 in words is "two hundred forty-eight million, five hundred sixty-eight thousand, nine hundred".