395706816 has 224 divisors, whose sum is σ = 1228953600. Its totient is φ = 124692480.

The previous prime is 395706811. The next prime is 395706833. The reversal of 395706816 is 618607593.

It is a happy number.

395706816 is a `hidden beast` number, since 3 + 9 + 570 + 68 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395706811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4446100 + ... + 4446188.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^395706816 is an apocalyptic number.

395706816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

395706816 is an abundant number, since it is smaller than the sum of its proper divisors (833246784).

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

395706816 is a wasteful number, since it uses less digits than its factorization.

395706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 395706816 is about 19892.3808529799. The cubic root of 395706816 is about 734.1607747461.

The spelling of 395706816 in words is "three hundred ninety-five million, seven hundred six thousand, eight hundred sixteen".