386225424 has 120 divisors (see below), whose sum is σ = 1171166360. Its totient is φ = 118112256.

The previous prime is 386225423. The next prime is 386225429. The reversal of 386225424 is 424522683.

386225424 is a `hidden beast` number, since 3 + 8 + 6 + 225 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 810000 + 385415424 = 900^2 + 19632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (92160) is a multiple of the sum of its prime divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (386225423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 360762 + ... + 361830.

Almost surely, 2^386225424 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 386225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585583180).

386225424 is an abundant number, since it is smaller than the sum of its proper divisors (784940936).

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

386225424 is a wasteful number, since it uses less digits than its factorization.

386225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1280 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 386225424 is about 19652.6187567968. The cubic root of 386225424 is about 728.2496527338.

The spelling of 386225424 in words is "three hundred eighty-six million, two hundred twenty-five thousand, four hundred twenty-four".