385414144 has 44 divisors (see below), whose sum is σ = 779292900. Its totient is φ = 190496768.

The previous prime is 385414121. The next prime is 385414153. The reversal of 385414144 is 441414583.

It can be written as a sum of positive squares in 2 ways, for example, as 266342400 + 119071744 = 16320^2 + 10912^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89022 + ... + 93250.

Almost surely, 2^385414144 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 385414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389646450).

385414144 is an abundant number, since it is smaller than the sum of its proper divisors (393878756).

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

385414144 is an equidigital number, since it uses as much as digits as its factorization.

385414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4320 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 385414144 is about 19631.9674001359. The cubic root of 385414144 is about 727.7393906775.

The spelling of 385414144 in words is "three hundred eighty-five million, four hundred fourteen thousand, one hundred forty-four".