248424 has 32 divisors (see below), whose sum is σ = 678240. Its totient is φ = 75200.

The previous prime is 248407. The next prime is 248431. The reversal of 248424 is 424842.

248424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 248394 and 248403.

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, 207 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (21195).

2²⁴⁸⁴²⁴ is an apocalyptic number.

248424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248424 is an abundant number, since it is smaller than the sum of its proper divisors (429816).

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

248424 is a wasteful number, since it uses less digits than its factorization.

248424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 957 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 248424 is about 498.4215083642. The cubic root of 248424 is about 62.8633976460.

It can be divided in two parts, 24 and 8424, that added together give a palindrome (8448).

The spelling of 248424 in words is "two hundred forty-eight thousand, four hundred twenty-four".