385401 has 4 divisors (see below), whose sum is σ = 513872. Its totient is φ = 256932.

The previous prime is 385397. The next prime is 385403. The reversal of 385401 is 104583.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 385401 - 2² = 385397 is a prime.

It is a D-number.

It is a Duffinian number.

385401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (385403) 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 3 ways as a sum of consecutive naturals, for example, 64231 + ... + 64236.

It is an arithmetic number, because the mean of its divisors is an integer number (128468).

2³⁸⁵⁴⁰¹ is an apocalyptic number.

It is an amenable number.

385401 is a deficient number, since it is larger than the sum of its proper divisors (128471).

385401 is a wasteful number, since it uses less digits than its factorization.

385401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128470.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 385401 is about 620.8067332109. The cubic root of 385401 is about 72.7731117745.

Adding to 385401 its product of nonzero digits (480), we get a triangular number (385881 = T₈₇₈).

Adding to 385401 its reverse (104583), we get a palindrome (489984).

The spelling of 385401 in words is "three hundred eighty-five thousand, four hundred one".