248352 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 76032.

The previous prime is 248351. The next prime is 248357. The reversal of 248352 is 253842.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 2¹¹ + 4⁶ + 3⁵ + 8⁵ + 5⁷ + 2¹⁷ .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (248351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²⁴⁸³⁵² 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 248352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

248352 is an abundant number, since it is smaller than the sum of its proper divisors (457248).

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

248352 is a wasteful number, since it uses less digits than its factorization.

248352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 248352 is about 498.3492751073. The cubic root of 248352 is about 62.8573238877.

The spelling of 248352 in words is "two hundred forty-eight thousand, three hundred fifty-two".