248496 has 40 divisors (see below), whose sum is σ = 666624. Its totient is φ = 79680.

The previous prime is 248483. The next prime is 248509. The reversal of 248496 is 694842.

248496 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 (248483) and next prime (248509).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248496.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1405 + ... + 1571.

2²⁴⁸⁴⁹⁶ 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 248496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312).

248496 is an abundant number, since it is smaller than the sum of its proper divisors (418128).

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

248496 is a wasteful number, since it uses less digits than its factorization.

248496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 248496 is about 498.4937311542. The cubic root of 248496 is about 62.8694702308.

The spelling of 248496 in words is "two hundred forty-eight thousand, four hundred ninety-six".