386420 has 18 divisors (see below), whose sum is σ = 817362. Its totient is φ = 153456.

The previous prime is 386413. The next prime is 386429. The reversal of 386420 is 24683.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 309136 + 77284 = 556^2 + 278^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386420.

It is not an unprimeable number, because it can be changed into a prime (386429) by changing a digit.

386420 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2711 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (45409).

2³⁸⁶⁴²⁰ is an apocalyptic number.

It is an amenable number.

386420 is an abundant number, since it is smaller than the sum of its proper divisors (430942).

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

386420 is a wasteful number, since it uses less digits than its factorization.

386420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 386420 is about 621.6268977449. The cubic root of 386420 is about 72.8371926849.

The spelling of 386420 in words is "three hundred eighty-six thousand, four hundred twenty".