386224020 has 576 divisors, whose sum is σ = 1629089280. Its totient is φ = 71663616.

The previous prime is 386223997. The next prime is 386224021. The reversal of 386224020 is 20422683.

386224020 is a `hidden beast` number, since 38 + 622 + 4 + 0 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386224021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5290704 + ... + 5290776.

It is an arithmetic number, because the mean of its divisors is an integer number (2828280).

Almost surely, 2^386224020 is an apocalyptic number.

386224020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814544640).

386224020 is an abundant number, since it is smaller than the sum of its proper divisors (1242865260).

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

386224020 is a wasteful number, since it uses less digits than its factorization.

386224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 386224020 is about 19652.5830363339. The cubic root of 386224020 is about 728.2487702925.

The spelling of 386224020 in words is "three hundred eighty-six million, two hundred twenty-four thousand, twenty".