381504 has 28 divisors (see below), whose sum is σ = 1009904. Its totient is φ = 127104.

The previous prime is 381487. The next prime is 381509. The reversal of 381504 is 405183.

381504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381504.

It is not an unprimeable number, because it can be changed into a prime (381509) by changing a digit.

381504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 802 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (36068).

2³⁸¹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

381504 is an abundant number, since it is smaller than the sum of its proper divisors (628400).

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

381504 is a wasteful number, since it uses less digits than its factorization.

381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 381504 is about 617.6601007026. The cubic root of 381504 is about 72.5269974762.

Adding to 381504 its reverse (405183), we get a palindrome (786687).

The spelling of 381504 in words is "three hundred eighty-one thousand, five hundred four".