388420 has 12 divisors (see below), whose sum is σ = 815724. Its totient is φ = 155360.

The previous prime is 388403. The next prime is 388459. The reversal of 388420 is 24883.

388420 = T₁₈₇ + T₁₈₈ + ... + T₂₀₆.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 101124 = 536^2 + 318^2 .

It is an unprimeable number.

388420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9691 + ... + 9730.

It is an arithmetic number, because the mean of its divisors is an integer number (67977).

2³⁸⁸⁴²⁰ is an apocalyptic number.

It is an amenable number.

388420 is an abundant number, since it is smaller than the sum of its proper divisors (427304).

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

388420 is a wasteful number, since it uses less digits than its factorization.

388420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19430 (or 19428 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 388420 is about 623.2335035924. The cubic root of 388420 is about 72.9626380401.

Subtracting from 388420 its product of nonzero digits (1536), we obtain a square (386884 = 622²).

It can be divided in two parts, 388 and 420, that added together give a palindrome (808).

The spelling of 388420 in words is "three hundred eighty-eight thousand, four hundred twenty".