395794320 has 320 divisors, whose sum is σ = 1387411200. Its totient is φ = 92897280.

The previous prime is 395794319. The next prime is 395794367. The reversal of 395794320 is 23497593.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5421804 + ... + 5421876.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660).

Almost surely, 2^395794320 is an apocalyptic number.

395794320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395794320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693705600).

395794320 is an abundant number, since it is smaller than the sum of its proper divisors (991616880).

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

395794320 is a wasteful number, since it uses less digits than its factorization.

395794320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 395794320 is about 19894.5801664674. The cubic root of 395794320 is about 734.2148865844.

The spelling of 395794320 in words is "three hundred ninety-five million, seven hundred ninety-four thousand, three hundred twenty".