393189984 has 144 divisors (see below), whose sum is σ = 1260871920. Its totient is φ = 119116800.

The previous prime is 393189967. The next prime is 393190013. The reversal of 393189984 is 489981393.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 393189984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102664 + ... + 106424.

It is an arithmetic number, because the mean of its divisors is an integer number (8756055).

Almost surely, 2^393189984 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 393189984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630435960).

393189984 is an abundant number, since it is smaller than the sum of its proper divisors (867681936).

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

393189984 is a wasteful number, since it uses less digits than its factorization.

393189984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3777 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 393189984 is about 19829.0187351770. The cubic root of 393189984 is about 732.6009577132.

The spelling of 393189984 in words is "three hundred ninety-three million, one hundred eighty-nine thousand, nine hundred eighty-four".