395458976 has 72 divisors (see below), whose sum is σ = 864545220. Its totient is φ = 177914880.

The previous prime is 395458967. The next prime is 395459011. The reversal of 395458976 is 679854593.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 383376400 + 12082576 = 19580^2 + 3476^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 421580 + ... + 422516.

Almost surely, 2^395458976 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 395458976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432272610).

395458976 is an abundant number, since it is smaller than the sum of its proper divisors (469086244).

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

395458976 is a wasteful number, since it uses less digits than its factorization.

395458976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1059 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 56.

The square root of 395458976 is about 19886.1503564667. The cubic root of 395458976 is about 734.0074689823.

The spelling of 395458976 in words is "three hundred ninety-five million, four hundred fifty-eight thousand, nine hundred seventy-six".