381566952 has 48 divisors (see below), whose sum is σ = 1112906340. Its totient is φ = 117404928.

The previous prime is 381566917. The next prime is 381566963. The reversal of 381566952 is 259665183.

381566952 is a `hidden beast` number, since 3 + 81 + 566 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370716516 + 10850436 = 19254^2 + 3294^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 381566898 and 381566907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202893 + ... + 204764.

Almost surely, 2^381566952 is an apocalyptic number.

It is an amenable number.

381566952 is an abundant number, since it is smaller than the sum of its proper divisors (731339388).

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

381566952 is a wasteful number, since it uses less digits than its factorization.

381566952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407682 (or 407675 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 381566952 is about 19533.7388126288. The cubic root of 381566952 is about 725.3098648498.

The spelling of 381566952 in words is "three hundred eighty-one million, five hundred sixty-six thousand, nine hundred fifty-two".