395458964 has 48 divisors (see below), whose sum is σ = 791078400. Its totient is φ = 171849216.

The previous prime is 395458961. The next prime is 395458967. The reversal of 395458964 is 469854593.

It is an interprime number because it is at equal distance from previous prime (395458961) and next prime (395458967).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40997 + ... + 49715.

It is an arithmetic number, because the mean of its divisors is an integer number (16480800).

Almost surely, 2^395458964 is an apocalyptic number.

395458964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

395458964 is an abundant number, since it is smaller than the sum of its proper divisors (395619436).

395458964 is a wasteful number, since it uses less digits than its factorization.

395458964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8790 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 53.

The square root of 395458964 is about 19886.1500547492. The cubic root of 395458964 is about 734.0074615580.

The spelling of 395458964 in words is "three hundred ninety-five million, four hundred fifty-eight thousand, nine hundred sixty-four".