395162208 has 144 divisors (see below), whose sum is σ = 1325915136. Its totient is φ = 109244160.

The previous prime is 395162203. The next prime is 395162219. The reversal of 395162208 is 802261593.

395162208 is a `hidden beast` number, since 395 + 1 + 62 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395162203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59335 + ... + 65657.

It is an arithmetic number, because the mean of its divisors is an integer number (9207744).

Almost surely, 2^395162208 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 395162208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662957568).

395162208 is an abundant number, since it is smaller than the sum of its proper divisors (930752928).

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

395162208 is a wasteful number, since it uses less digits than its factorization.

395162208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 395162208 is about 19878.6872806028. The cubic root of 395162208 is about 733.8238136570.

The spelling of 395162208 in words is "three hundred ninety-five million, one hundred sixty-two thousand, two hundred eight".