395930976 has 144 divisors (see below), whose sum is σ = 1226628144. Its totient is φ = 111476736.

The previous prime is 395930897. The next prime is 395931001. The reversal of 395930976 is 679039593.

It is a super-2 number, since 2×395930976² = 313522675512625152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342816 + ... + 343968.

It is an arithmetic number, because the mean of its divisors is an integer number (8518251).

Almost surely, 2^395930976 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 395930976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613314072).

395930976 is an abundant number, since it is smaller than the sum of its proper divisors (830697168).

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

395930976 is a wasteful number, since it uses less digits than its factorization.

395930976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 51.

The square root of 395930976 is about 19898.0143732987. The cubic root of 395930976 is about 734.2993777112.

The spelling of 395930976 in words is "three hundred ninety-five million, nine hundred thirty thousand, nine hundred seventy-six".