395368224 has 24 divisors (see below), whose sum is σ = 1037841840. Its totient is φ = 131789376.

The previous prime is 395368157. The next prime is 395368247. The reversal of 395368224 is 422863593.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 2059114 + ... + 2059305.

It is an arithmetic number, because the mean of its divisors is an integer number (43243410).

Almost surely, 2^395368224 is an apocalyptic number.

It is an amenable number.

395368224 is an abundant number, since it is smaller than the sum of its proper divisors (642473616).

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

395368224 is a wasteful number, since it uses less digits than its factorization.

395368224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118432 (or 4118424 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 395368224 is about 19883.8684364990. The cubic root of 395368224 is about 733.9513167255.

The spelling of 395368224 in words is "three hundred ninety-five million, three hundred sixty-eight thousand, two hundred twenty-four".