248936800 has 72 divisors (see below), whose sum is σ = 694549296. Its totient is φ = 85347840.

The previous prime is 248936731. The next prime is 248936839. The reversal of 248936800 is 8639842.

248936800 is digitally balanced in base 3, 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16627 + ... + 27826.

It is an arithmetic number, because the mean of its divisors is an integer number (9646518).

Almost surely, 2^248936800 is an apocalyptic number.

248936800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248936800 is an abundant number, since it is smaller than the sum of its proper divisors (445612496).

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

248936800 is a wasteful number, since it uses less digits than its factorization.

248936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44480 (or 44467 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 248936800 is about 15777.7311423411. The cubic root of 248936800 is about 629.0662239455.

The spelling of 248936800 in words is "two hundred forty-eight million, nine hundred thirty-six thousand, eight hundred".