381585408 has 96 divisors (see below), whose sum is σ = 1026043200. Its totient is φ = 126107648.

The previous prime is 381585389. The next prime is 381585409. The reversal of 381585408 is 804585183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 381585408.

It is not an unprimeable number, because it can be changed into a prime (381585409) 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 7 ways as a sum of consecutive naturals, for example, 1062733 + ... + 1063091.

It is an arithmetic number, because the mean of its divisors is an integer number (10687950).

Almost surely, 2^381585408 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 381585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513021600).

381585408 is an abundant number, since it is smaller than the sum of its proper divisors (644457792).

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

381585408 is a wasteful number, since it uses less digits than its factorization.

381585408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 381585408 is about 19534.2112203181. The cubic root of 381585408 is about 725.3215588246.

The spelling of 381585408 in words is "three hundred eighty-one million, five hundred eighty-five thousand, four hundred eight".