386512 has 60 divisors (see below), whose sum is σ = 954180. Its totient is φ = 150528.

The previous prime is 386501. The next prime is 386521. The reversal of 386512 is 215683.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 132496 = 504^2 + 364^2 .

It is a super-2 number, since 2×386512² = 298783052288, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13314 + ... + 13342.

It is an arithmetic number, because the mean of its divisors is an integer number (15903).

2³⁸⁶⁵¹² 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 386512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477090).

386512 is an abundant number, since it is smaller than the sum of its proper divisors (567668).

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

386512 is a wasteful number, since it uses less digits than its factorization.

386512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 386512 is about 621.7008927129. The cubic root of 386512 is about 72.8429726566.

It can be divided in two parts, 386 and 512, that added together give a palindrome (898).

The spelling of 386512 in words is "three hundred eighty-six thousand, five hundred twelve".