248904 has 24 divisors (see below), whose sum is σ = 674310. Its totient is φ = 82944.

The previous prime is 248903. The next prime is 248909. The reversal of 248904 is 409842.

248904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 900 = 498^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1657 + ... + 1800.

2²⁴⁸⁹⁰⁴ is an apocalyptic number.

248904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248904 is an abundant number, since it is smaller than the sum of its proper divisors (425406).

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

248904 is a wasteful number, since it uses less digits than its factorization.

248904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 248904 is about 498.9027961437. The cubic root of 248904 is about 62.9038594070.

The spelling of 248904 in words is "two hundred forty-eight thousand, nine hundred four".