248992 has 24 divisors (see below), whose sum is σ = 508032. Its totient is φ = 120000.

The previous prime is 248987. The next prime is 249017. The reversal of 248992 is 299842.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 867 + ... + 1117.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2²⁴⁸⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

248992 is an abundant number, since it is smaller than the sum of its proper divisors (259040).

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

248992 is a wasteful number, since it uses less digits than its factorization.

248992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 248992 is about 498.9909818824. The cubic root of 248992 is about 62.9112717526.

It can be divided in two parts, 248 and 992, that multiplied together give a square (246016 = 496²).

The spelling of 248992 in words is "two hundred forty-eight thousand, nine hundred ninety-two".