248094800 has 30 divisors (see below), whose sum is σ = 596048718. Its totient is φ = 99237760.

The previous prime is 248094757. The next prime is 248094853. The reversal of 248094800 is 8490842.

It can be written as a sum of positive squares in 3 ways, for example, as 8340544 + 239754256 = 2888^2 + 15484^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 309719 + ... + 310518.

Almost surely, 2^248094800 is an apocalyptic number.

248094800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248094800 is an abundant number, since it is smaller than the sum of its proper divisors (347953918).

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

248094800 is a wasteful number, since it uses less digits than its factorization.

248094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620255 (or 620244 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 248094800 is about 15751.0253634486. The cubic root of 248094800 is about 628.3561748192.

The spelling of 248094800 in words is "two hundred forty-eight million, ninety-four thousand, eight hundred".