393848 has 32 divisors (see below), whose sum is σ = 910560. Its totient is φ = 155520.

The previous prime is 393847. The next prime is 393853. The reversal of 393848 is 848393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393847) 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, 458 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (28455).

2³⁹³⁸⁴⁸ 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 393848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455280).

393848 is an abundant number, since it is smaller than the sum of its proper divisors (516712).

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

393848 is a wasteful number, since it uses less digits than its factorization.

393848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 393848 is about 627.5731033115. The cubic root of 393848 is about 73.3009406983.

The spelling of 393848 in words is "three hundred ninety-three thousand, eight hundred forty-eight".