386241408 has 192 divisors, whose sum is σ = 1281870720. Its totient is φ = 109347840.

The previous prime is 386241389. The next prime is 386241433. The reversal of 386241408 is 804142683.

386241408 is a `hidden beast` number, since 3 + 8 + 6 + 241 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1701391 + ... + 1701617.

It is an arithmetic number, because the mean of its divisors is an integer number (6676410).

Almost surely, 2^386241408 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 386241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640935360).

386241408 is an abundant number, since it is smaller than the sum of its proper divisors (895629312).

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

386241408 is a wasteful number, since it uses less digits than its factorization.

386241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 386241408 is about 19653.0254159506. The cubic root of 386241408 is about 728.2596988374.

The spelling of 386241408 in words is "three hundred eighty-six million, two hundred forty-one thousand, four hundred eight".