395327376 has 240 divisors, whose sum is σ = 1238016000. Its totient is φ = 117262080.

The previous prime is 395327369. The next prime is 395327377. The reversal of 395327376 is 673723593.

It is not an unprimeable number, because it can be changed into a prime (395327377) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5004105 + ... + 5004183.

It is an arithmetic number, because the mean of its divisors is an integer number (5158400).

Almost surely, 2^395327376 is an apocalyptic number.

395327376 is a gapful number since it is divisible by the number (36) 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 395327376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619008000).

395327376 is an abundant number, since it is smaller than the sum of its proper divisors (842688624).

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

395327376 is a wasteful number, since it uses less digits than its factorization.

395327376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its digits is 714420, while the sum is 45.

The square root of 395327376 is about 19882.8412456570. The cubic root of 395327376 is about 733.9260394657.

It can be divided in two parts, 3953 and 27376, that added together give a square (31329 = 177²).

The spelling of 395327376 in words is "three hundred ninety-five million, three hundred twenty-seven thousand, three hundred seventy-six".