248500 has 48 divisors (see below), whose sum is σ = 628992. Its totient is φ = 84000.

The previous prime is 248483. The next prime is 248509. The reversal of 248500 is 5842.

248500 = T₃₁ + T₃₂ + ... + T₁₁₄.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3465 + ... + 3535.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2²⁴⁸⁵⁰⁰ is an apocalyptic number.

248500 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 248500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

248500 is an abundant number, since it is smaller than the sum of its proper divisors (380492).

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

248500 is a wasteful number, since it uses less digits than its factorization.

248500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 248500 is about 498.4977432246. The cubic root of 248500 is about 62.8698075622.

The spelling of 248500 in words is "two hundred forty-eight thousand, five hundred".