248404 has 24 divisors (see below), whose sum is σ = 497448. Its totient is φ = 107520.

The previous prime is 248401. The next prime is 248407. The reversal of 248404 is 404842.

248404 = 90² + 91² + ... + 113².

248404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248401) and next prime (248407).

It can be written as a sum of positive squares in 4 ways, for example, as 44100 + 204304 = 210^2 + 452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744 + ... + 1024.

It is an arithmetic number, because the mean of its divisors is an integer number (20727).

2²⁴⁸⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

248404 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

248404 is a wasteful number, since it uses less digits than its factorization.

248404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 248404 is about 498.4014446207. The cubic root of 248404 is about 62.8617106086.

The spelling of 248404 in words is "two hundred forty-eight thousand, four hundred four".