248974800 has 60 divisors (see below), whose sum is σ = 797553120. Its totient is φ = 66392960.

The previous prime is 248974771. The next prime is 248974811. The reversal of 248974800 is 8479842.

248974800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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, 102540 + ... + 104939.

It is an arithmetic number, because the mean of its divisors is an integer number (13292552).

Almost surely, 2^248974800 is an apocalyptic number.

248974800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248974800 is an abundant number, since it is smaller than the sum of its proper divisors (548578320).

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

248974800 is a wasteful number, since it uses less digits than its factorization.

248974800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207500 (or 207489 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 248974800 is about 15778.9353253000. The cubic root of 248974800 is about 629.0982311327.

The spelling of 248974800 in words is "two hundred forty-eight million, nine hundred seventy-four thousand, eight hundred".