381506304 has 72 divisors (see below), whose sum is σ = 1018770480. Its totient is φ = 126742528.

The previous prime is 381506287. The next prime is 381506309. The reversal of 381506304 is 403605183.

It is not an unprimeable number, because it can be changed into a prime (381506309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298114 + ... + 299390.

It is an arithmetic number, because the mean of its divisors is an integer number (14149590).

Almost surely, 2^381506304 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 381506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509385240).

381506304 is an abundant number, since it is smaller than the sum of its proper divisors (637264176).

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

381506304 is a wasteful number, since it uses less digits than its factorization.

381506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 381506304 is about 19532.1863599547. The cubic root of 381506304 is about 725.2714347890.

The spelling of 381506304 in words is "three hundred eighty-one million, five hundred six thousand, three hundred four".