248000 has 56 divisors (see below), whose sum is σ = 633984. Its totient is φ = 96000.

The previous prime is 247999. The next prime is 248021. The reversal of 248000 is 842.

It is a nialpdrome in base 8 and base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7985 + ... + 8015.

2²⁴⁸⁰⁰⁰ is an apocalyptic number.

248000 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 248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316992).

248000 is an abundant number, since it is smaller than the sum of its proper divisors (385984).

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

248000 is an equidigital number, since it uses as much as digits as its factorization.

248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 248000 is about 497.9959839195. The cubic root of 248000 is about 62.8276130478.

Adding to 248000 its reverse (842), we get a palindrome (248842).

The spelling of 248000 in words is "two hundred forty-eight thousand".