381806407 has 2 divisors, whose sum is σ = 381806408. Its totient is φ = 381806406.

The previous prime is 381806393. The next prime is 381806423. The reversal of 381806407 is 704608183.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 381806407 - 2¹⁹ = 381282119 is a prime.

It is a super-2 number, since 2×381806407² = 291552264852499298, which contains 22 as substring.

It is a Chen prime.

It is equal to p_20416987 and since 381806407 and 20416987 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (381806497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190903203 + 190903204.

It is an arithmetic number, because the mean of its divisors is an integer number (190903204).

Almost surely, 2^381806407 is an apocalyptic number.

381806407 is a deficient number, since it is larger than the sum of its proper divisors (1).

381806407 is an equidigital number, since it uses as much as digits as its factorization.

381806407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 381806407 is about 19539.8671182790. The cubic root of 381806407 is about 725.4615575425.

The spelling of 381806407 in words is "three hundred eighty-one million, eight hundred six thousand, four hundred seven".