395679438 has 192 divisors, whose sum is σ = 1136862720. Its totient is φ = 99792000.

The previous prime is 395679433. The next prime is 395679439. The reversal of 395679438 is 834976593.

395679438 is a `hidden beast` number, since 39 + 567 + 9 + 43 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395679433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1875153 + ... + 1875363.

It is an arithmetic number, because the mean of its divisors is an integer number (5921160).

Almost surely, 2^395679438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395679438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568431360).

395679438 is an abundant number, since it is smaller than the sum of its proper divisors (741183282).

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

395679438 is a wasteful number, since it uses less digits than its factorization.

395679438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 395679438 is about 19891.6926881550. The cubic root of 395679438 is about 734.1438427513.

The spelling of 395679438 in words is "three hundred ninety-five million, six hundred seventy-nine thousand, four hundred thirty-eight".