395784 has 48 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 125664.

The previous prime is 395767. The next prime is 395803. The reversal of 395784 is 487593.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

395784 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1537 + ... + 1775.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2³⁹⁵⁷⁸⁴ 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 395784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

395784 is an abundant number, since it is smaller than the sum of its proper divisors (727416).

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

395784 is a wasteful number, since it uses less digits than its factorization.

395784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

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

The square root of 395784 is about 629.1136622265. The cubic root of 395784 is about 73.4208505186.

Subtracting 395784 from its reverse (487593), we obtain a square (91809 = 303²).

The spelling of 395784 in words is "three hundred ninety-five thousand, seven hundred eighty-four".