248784 has 40 divisors (see below), whose sum is σ = 660672. Its totient is φ = 80640.

The previous prime is 248783. The next prime is 248789. The reversal of 248784 is 487842.

248784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248783) 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, 3372 + ... + 3444.

248784 is a Friedman number, since it can be written as (8+4)^(7-2)-48, using all its digits and the basic arithmetic operations.

2²⁴⁸⁷⁸⁴ is an apocalyptic number.

248784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330336).

248784 is an abundant number, since it is smaller than the sum of its proper divisors (411888).

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

248784 is a wasteful number, since it uses less digits than its factorization.

248784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 248784 is about 498.7825177369. The cubic root of 248784 is about 62.8937488469.

The spelling of 248784 in words is "two hundred forty-eight thousand, seven hundred eighty-four".