393788304 has 420 divisors, whose sum is σ = 1460086236. Its totient is φ = 101896704.

The previous prime is 393788233. The next prime is 393788321. The reversal of 393788304 is 403887393.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 165173904 + 228614400 = 12852^2 + 15120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 393788304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7429942 + ... + 7429994.

Almost surely, 2^393788304 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 393788304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730043118).

393788304 is an abundant number, since it is smaller than the sum of its proper divisors (1066297932).

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

393788304 is a wasteful number, since it uses less digits than its factorization.

393788304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 393788304 is about 19844.0999795909. The cubic root of 393788304 is about 732.9723707486.

The spelling of 393788304 in words is "three hundred ninety-three million, seven hundred eighty-eight thousand, three hundred four".