385185444 has 24 divisors (see below), whose sum is σ = 1027161408. Its totient is φ = 110052960.

The previous prime is 385185433. The next prime is 385185467. The reversal of 385185444 is 444581583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 385185396 and 385185405.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2292687 + ... + 2292854.

It is an arithmetic number, because the mean of its divisors is an integer number (42798392).

Almost surely, 2^385185444 is an apocalyptic number.

It is an amenable number.

385185444 is an abundant number, since it is smaller than the sum of its proper divisors (641975964).

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

385185444 is a wasteful number, since it uses less digits than its factorization.

385185444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585555 (or 4585553 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 385185444 is about 19626.1418521318. The cubic root of 385185444 is about 727.5954183367.

The spelling of 385185444 in words is "three hundred eighty-five million, one hundred eighty-five thousand, four hundred forty-four".