395458960 has 160 divisors (see below), whose sum is σ = 1044933120. Its totient is φ = 138184704.

The previous prime is 395458957. The next prime is 395458961. The reversal of 395458960 is 69854593.

It is not an unprimeable number, because it can be changed into a prime (395458961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1654521 + ... + 1654759.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2^395458960 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 395458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522466560).

395458960 is an abundant number, since it is smaller than the sum of its proper divisors (649474160).

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

395458960 is a wasteful number, since it uses less digits than its factorization.

395458960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The square root of 395458960 is about 19886.1499541767. The cubic root of 395458960 is about 734.0074590832.

The spelling of 395458960 in words is "three hundred ninety-five million, four hundred fifty-eight thousand, nine hundred sixty".