248472 has 96 divisors (see below), whose sum is σ = 842400. Its totient is φ = 64512.

The previous prime is 248461. The next prime is 248473. The reversal of 248472 is 274842.

248472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248472.

It is not an unprimeable number, because it can be changed into a prime (248473) by changing a digit.

248472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8554 + ... + 8582.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2²⁴⁸⁴⁷² 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 248472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

248472 is an abundant number, since it is smaller than the sum of its proper divisors (593928).

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

248472 is a wasteful number, since it uses less digits than its factorization.

248472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 248472 is about 498.4696580535. The cubic root of 248472 is about 62.8674461662.

It can be divided in two parts, 24847 and 2, that multiplied together give a palindrome (49694).

The spelling of 248472 in words is "two hundred forty-eight thousand, four hundred seventy-two".