403848 has 48 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 131040.

The previous prime is 403831. The next prime is 403849. The reversal of 403848 is 848304.

It is not an unprimeable number, because it can be changed into a prime (403849) by changing a digit.

403848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 5073 + ... + 5151.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁴⁰³⁸⁴⁸ 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 403848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

403848 is an abundant number, since it is smaller than the sum of its proper divisors (719352).

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

403848 is a wasteful number, since it uses less digits than its factorization.

403848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 403848 is about 635.4903618467. The cubic root of 403848 is about 73.9161455796.

The spelling of 403848 in words is "four hundred three thousand, eight hundred forty-eight".