248704 has 32 divisors (see below), whose sum is σ = 520200. Its totient is φ = 118272.

The previous prime is 248701. The next prime is 248707. The reversal of 248704 is 407842.

It is an interprime number because it is at equal distance from previous prime (248701) and next prime (248707).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3679 + ... + 3745.

2²⁴⁸⁷⁰⁴ 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 248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260100).

248704 is an abundant number, since it is smaller than the sum of its proper divisors (271496).

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

248704 is an equidigital number, since it uses as much as digits as its factorization.

248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 248704 is about 498.7023160163. The cubic root of 248704 is about 62.8870066672.

The spelling of 248704 in words is "two hundred forty-eight thousand, seven hundred four".