248600 has 48 divisors (see below), whose sum is σ = 636120. Its totient is φ = 89600.

The previous prime is 248597. The next prime is 248609. The reversal of 248600 is 6842.

248600 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2144 + ... + 2256.

2²⁴⁸⁶⁰⁰ is an apocalyptic number.

248600 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 248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060).

248600 is an abundant number, since it is smaller than the sum of its proper divisors (387520).

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

248600 is a wasteful number, since it uses less digits than its factorization.

248600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 248600 is about 498.5980344927. The cubic root of 248600 is about 62.8782396717.

It can be divided in two parts, 248 and 600, that added together give a palindrome (848).

The spelling of 248600 in words is "two hundred forty-eight thousand, six hundred".