381206304 has 96 divisors (see below), whose sum is σ = 1115856000. Its totient is φ = 126611712.

The previous prime is 381206303. The next prime is 381206311. The reversal of 381206304 is 403602183.

It is a happy number.

381206304 is a `hidden beast` number, since 3 + 8 + 1 + 20 + 630 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (381206303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309562 + ... + 310790.

It is an arithmetic number, because the mean of its divisors is an integer number (11623500).

Almost surely, 2^381206304 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 381206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557928000).

381206304 is an abundant number, since it is smaller than the sum of its proper divisors (734649696).

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

381206304 is a wasteful number, since it uses less digits than its factorization.

381206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 381206304 is about 19524.5052178026. The cubic root of 381206304 is about 725.0812776100.

Adding to 381206304 its reverse (403602183), we get a palindrome (784808487).

The spelling of 381206304 in words is "three hundred eighty-one million, two hundred six thousand, three hundred four".