386180420 has 48 divisors (see below), whose sum is σ = 833403648. Its totient is φ = 150232320.

The previous prime is 386180413. The next prime is 386180437. The reversal of 386180420 is 24081683.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 232232 + ... + 233888.

It is an arithmetic number, because the mean of its divisors is an integer number (17362576).

Almost surely, 2^386180420 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 386180420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416701824).

386180420 is an abundant number, since it is smaller than the sum of its proper divisors (447223228).

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

386180420 is a wasteful number, since it uses less digits than its factorization.

386180420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 386180420 is about 19651.4737360840. The cubic root of 386180420 is about 728.2213657815.

The spelling of 386180420 in words is "three hundred eighty-six million, one hundred eighty thousand, four hundred twenty".