393871104 has 108 divisors (see below), whose sum is σ = 1238946072. Its totient is φ = 119347200.

The previous prime is 393871103. The next prime is 393871111. The reversal of 393871104 is 401178393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393871103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17574 + ... + 33114.

Almost surely, 2^393871104 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 393871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619473036).

393871104 is an abundant number, since it is smaller than the sum of its proper divisors (845074968).

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

393871104 is a wasteful number, since it uses less digits than its factorization.

393871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15574 (or 15557 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 393871104 is about 19846.1861323530. The cubic root of 393871104 is about 733.0237400236.

The spelling of 393871104 in words is "three hundred ninety-three million, eight hundred seventy-one thousand, one hundred four".