385808164 has 81 divisors (see below), whose sum is σ = 834707601. Its totient is φ = 155564640.

The previous prime is 385808161. The next prime is 385808201. The reversal of 385808164 is 461808583.

The square root of 385808164 is 19642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12545764 + 373262400 = 3542^2 + 19320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 385808164.

It is not an unprimeable number, because it can be changed into a prime (385808161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6324694 + ... + 6324754.

Almost surely, 2^385808164 is an apocalyptic number.

385808164 is the 19642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385808164

385808164 is an abundant number, since it is smaller than the sum of its proper divisors (448899437).

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

385808164 is a wasteful number, since it uses less digits than its factorization.

385808164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The cubic root of 385808164 is about 727.9873025399.

The spelling of 385808164 in words is "three hundred eighty-five million, eight hundred eight thousand, one hundred sixty-four".