388401 has 16 divisors (see below), whose sum is σ = 583296. Its totient is φ = 228096.

The previous prime is 388391. The next prime is 388403. The reversal of 388401 is 104883.

It is not a de Polignac number, because 388401 - 2⁵ = 388369 is a prime.

388401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (388403) 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 15 ways as a sum of consecutive naturals, for example, 681 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2³⁸⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

388401 is a deficient number, since it is larger than the sum of its proper divisors (194895).

388401 is a wasteful number, since it uses less digits than its factorization.

388401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 388401 is about 623.2182603230. The cubic root of 388401 is about 72.9614483376.

The spelling of 388401 in words is "three hundred eighty-eight thousand, four hundred one".