248005800 has 288 divisors, whose sum is σ = 988478400. Its totient is φ = 56687040.

The previous prime is 248005789. The next prime is 248005801. The reversal of 248005800 is 8500842.

248005800 is a `hidden beast` number, since 2 + 4 + 80 + 0 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (248005801) 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 71 ways as a sum of consecutive naturals, for example, 35429397 + ... + 35429403.

Almost surely, 2^248005800 is an apocalyptic number.

248005800 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 248005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494239200).

248005800 is an abundant number, since it is smaller than the sum of its proper divisors (740472600).

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

248005800 is an frugal number, since it uses more digits than its factorization.

248005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 248005800 is about 15748.1998971311. The cubic root of 248005800 is about 628.2810282917.

The spelling of 248005800 in words is "two hundred forty-eight million, five thousand, eight hundred".