395961258 has 64 divisors (see below), whose sum is σ = 1007539200. Its totient is φ = 102841200.

The previous prime is 395961257. The next prime is 395961281. The reversal of 395961258 is 852169593.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (395961257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13893 + ... + 31383.

It is an arithmetic number, because the mean of its divisors is an integer number (15742800).

Almost surely, 2^395961258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395961258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503769600).

395961258 is an abundant number, since it is smaller than the sum of its proper divisors (611577942).

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

395961258 is a wasteful number, since it uses less digits than its factorization.

395961258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17528 (or 17514 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 395961258 is about 19898.7752889468. The cubic root of 395961258 is about 734.3180977139.

The spelling of 395961258 in words is "three hundred ninety-five million, nine hundred sixty-one thousand, two hundred fifty-eight".