395105296 has 40 divisors (see below), whose sum is σ = 823869144. Its totient is φ = 182876160.

The previous prime is 395105287. The next prime is 395105297. The reversal of 395105296 is 692501593.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23386896 + 371718400 = 4836^2 + 19280^2 .

It is a super-2 number, since 2×395105296² = 312216389854495232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (395105297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4686 + ... + 28498.

Almost surely, 2^395105296 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 395105296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411934572).

395105296 is an abundant number, since it is smaller than the sum of its proper divisors (428763848).

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

395105296 is a wasteful number, since it uses less digits than its factorization.

395105296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23899 (or 23893 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 395105296 is about 19877.2557462040. The cubic root of 395105296 is about 733.7885830731.

The spelling of 395105296 in words is "three hundred ninety-five million, one hundred five thousand, two hundred ninety-six".