387567441 has 12 divisors (see below), whose sum is σ = 559997568. Its totient is φ = 258296184.

The previous prime is 387567409. The next prime is 387567451. The reversal of 387567441 is 144765783.

387567441 is a `hidden beast` number, since 3 + 87 + 567 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 387567441 - 2⁵ = 387567409 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (387567451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39736 + ... + 48518.

It is an arithmetic number, because the mean of its divisors is an integer number (46666464).

Almost surely, 2^387567441 is an apocalyptic number.

It is an amenable number.

387567441 is a deficient number, since it is larger than the sum of its proper divisors (172430127).

387567441 is a wasteful number, since it uses less digits than its factorization.

387567441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13692 (or 13689 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 387567441 is about 19686.7326136157. The cubic root of 387567441 is about 729.0921603865.

The spelling of 387567441 in words is "three hundred eighty-seven million, five hundred sixty-seven thousand, four hundred forty-one".