393943104 has 63 divisors (see below), whose sum is σ = 1130533807. Its totient is φ = 131155584.

The previous prime is 393943031. The next prime is 393943111. The reversal of 393943104 is 401349393.

The square root of 393943104 is 19848.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 475939 + ... + 476765.

Almost surely, 2^393943104 is an apocalyptic number.

393943104 is the 19848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393943104

393943104 is an abundant number, since it is smaller than the sum of its proper divisors (736590703).

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

393943104 is an frugal number, since it uses more digits than its factorization.

393943104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The cubic root of 393943104 is about 733.0684031068.

Multiplying 393943104 by its sum of digits (36), we get a square (14181951744 = 119088²).

393943104 divided by its sum of digits (36) gives a square (10942864 = 3308²).

The spelling of 393943104 in words is "three hundred ninety-three million, nine hundred forty-three thousand, one hundred four".