248009800 has 48 divisors (see below), whose sum is σ = 577931760. Its totient is φ = 98978880.

The previous prime is 248009761. The next prime is 248009807. The reversal of 248009800 is 8900842.

It is not an unprimeable number, because it can be changed into a prime (248009807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108267 + ... + 110533.

It is an arithmetic number, because the mean of its divisors is an integer number (12040245).

Almost surely, 2^248009800 is an apocalyptic number.

248009800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248009800 is an abundant number, since it is smaller than the sum of its proper divisors (329921960).

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

248009800 is a wasteful number, since it uses less digits than its factorization.

248009800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 248009800 is about 15748.3268952610. The cubic root of 248009800 is about 628.2844060495.

The spelling of 248009800 in words is "two hundred forty-eight million, nine thousand, eight hundred".