385749 has 32 divisors (see below), whose sum is σ = 707840. Its totient is φ = 202176.

The previous prime is 385741. The next prime is 385771. The reversal of 385749 is 947583.

It is not a de Polignac number, because 385749 - 2³ = 385741 is a prime.

Its product of digits (30240) is a multiple of the sum of its prime divisors (180).

It is a Curzon number.

385749 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385749.

It is not an unprimeable number, because it can be changed into a prime (385741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2379 + ... + 2535.

It is an arithmetic number, because the mean of its divisors is an integer number (22120).

2³⁸⁵⁷⁴⁹ is an apocalyptic number.

385749 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

385749 is a deficient number, since it is larger than the sum of its proper divisors (322091).

385749 is a wasteful number, since it uses less digits than its factorization.

385749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 385749 is about 621.0869504345. The cubic root of 385749 is about 72.7950088153.

It can be divided in two parts, 38574 and 9, that added together give a palindrome (38583).

The spelling of 385749 in words is "three hundred eighty-five thousand, seven hundred forty-nine".