385144529 has 16 divisors (see below), whose sum is σ = 491895936. Its totient is φ = 292790400.

The previous prime is 385144517. The next prime is 385144531. The reversal of 385144529 is 925441583.

It is not a de Polignac number, because 385144529 - 2²⁰ = 384095953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (385144549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57842 + ... + 64155.

It is an arithmetic number, because the mean of its divisors is an integer number (30743496).

Almost surely, 2^385144529 is an apocalyptic number.

It is an amenable number.

385144529 is a deficient number, since it is larger than the sum of its proper divisors (106751407).

385144529 is a wasteful number, since it uses less digits than its factorization.

385144529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122056.

The product of its digits is 172800, while the sum is 41.

The square root of 385144529 is about 19625.0994647161. The cubic root of 385144529 is about 727.5696553169.

The spelling of 385144529 in words is "three hundred eighty-five million, one hundred forty-four thousand, five hundred twenty-nine".