248599800 has 192 divisors, whose sum is σ = 901728000. Its totient is φ = 62778240.

The previous prime is 248599777. The next prime is 248599837. The reversal of 248599800 is 8995842.

248599800 is a `hidden beast` number, since 2 + 485 + 99 + 80 + 0 = 666.

248599800 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101389 + ... + 103811.

It is an arithmetic number, because the mean of its divisors is an integer number (4696500).

Almost surely, 2^248599800 is an apocalyptic number.

248599800 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 248599800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450864000).

248599800 is an abundant number, since it is smaller than the sum of its proper divisors (653128200).

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

248599800 is a wasteful number, since it uses less digits than its factorization.

248599800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 248599800 is about 15767.0479164617. The cubic root of 248599800 is about 628.7822280974.

The spelling of 248599800 in words is "two hundred forty-eight million, five hundred ninety-nine thousand, eight hundred".