393048 has 48 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 127296.

The previous prime is 393031. The next prime is 393059. The reversal of 393048 is 840393.

393048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3765 + ... + 3867.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2³⁹³⁰⁴⁸ 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 393048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560).

393048 is an abundant number, since it is smaller than the sum of its proper divisors (702072).

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

393048 is a wasteful number, since it uses less digits than its factorization.

393048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 393048 is about 626.9354033710. The cubic root of 393048 is about 73.2512764438.

It can be divided in two parts, 39304 and 8, that multiplied together give a cube (314432 = 68³).

The spelling of 393048 in words is "three hundred ninety-three thousand, forty-eight".