384769 has 16 divisors (see below), whose sum is σ = 506880. Its totient is φ = 282960.

The previous prime is 384757. The next prime is 384773. The reversal of 384769 is 967483.

384769 = 182² + 183² + ... + 192².

It is a cyclic number.

It is not a de Polignac number, because 384769 - 2⁵ = 384737 is a prime.

It is a super-2 number, since 2×384769² = 296094366722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332 + ... + 1594.

It is an arithmetic number, because the mean of its divisors is an integer number (31680).

2³⁸⁴⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

384769 is a deficient number, since it is larger than the sum of its proper divisors (122111).

384769 is a wasteful number, since it uses less digits than its factorization.

384769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its digits is 36288, while the sum is 37.

The square root of 384769 is about 620.2975092647. The cubic root of 384769 is about 72.7333110043.

It can be divided in two parts, 3847 and 69, that added together give a triangular number (3916 = T₈₈).

The spelling of 384769 in words is "three hundred eighty-four thousand, seven hundred sixty-nine".