393918 has 32 divisors (see below), whose sum is σ = 919296. Its totient is φ = 110208.

The previous prime is 393901. The next prime is 393919. The reversal of 393918 is 819393.

It is a Curzon number.

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 393918.

It is not an unprimeable number, because it can be changed into a prime (393919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3430 + ... + 3542.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2³⁹³⁹¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

393918 is an abundant number, since it is smaller than the sum of its proper divisors (525378).

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

393918 is a wasteful number, since it uses less digits than its factorization.

393918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its digits is 5832, while the sum is 33.

The square root of 393918 is about 627.6288712288. The cubic root of 393918 is about 73.3052831196.

The spelling of 393918 in words is "three hundred ninety-three thousand, nine hundred eighteen".