395246208 has 256 divisors, whose sum is σ = 1292544000. Its totient is φ = 104509440.

The previous prime is 395246207. The next prime is 395246213. The reversal of 395246208 is 802642593.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (395246207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3626058 + ... + 3626166.

It is an arithmetic number, because the mean of its divisors is an integer number (5049000).

Almost surely, 2^395246208 is an apocalyptic number.

395246208 is a gapful number since it is divisible by the number (38) 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 395246208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646272000).

395246208 is an abundant number, since it is smaller than the sum of its proper divisors (897297792).

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

395246208 is a wasteful number, since it uses less digits than its factorization.

395246208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 395246208 is about 19880.7999839041. The cubic root of 395246208 is about 733.8758065112.

The spelling of 395246208 in words is "three hundred ninety-five million, two hundred forty-six thousand, two hundred eight".