385727584 has 48 divisors (see below), whose sum is σ = 836559360. Its totient is φ = 173612160.

The previous prime is 385727567. The next prime is 385727633. The reversal of 385727584 is 485727583.

It is a congruent number.

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, 30937 + ... + 41575.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^385727584 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 385727584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

385727584 is an abundant number, since it is smaller than the sum of its proper divisors (450831776).

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

385727584 is a wasteful number, since it uses less digits than its factorization.

385727584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10755 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 49.

The square root of 385727584 is about 19639.9486761040. The cubic root of 385727584 is about 727.9366164677.

Subtracting 385727584 from its reverse (485727583), we obtain a palindrome (99999999).

The spelling of 385727584 in words is "three hundred eighty-five million, seven hundred twenty-seven thousand, five hundred eighty-four".