400382441 has 2 divisors, whose sum is σ = 400382442. Its totient is φ = 400382440.

The previous prime is 400382393. The next prime is 400382447. The reversal of 400382441 is 144283004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 316128400 + 84254041 = 17780^2 + 9179^2 .

It is a cyclic number.

It is not a de Polignac number, because 400382441 - 2²² = 396188137 is a prime.

It is a super-2 number, since 2×400382441² = 320612198122236962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 400382441.

It is not a weakly prime, because it can be changed into another prime (400382447) by changing a digit.

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 as a sum of consecutive naturals, namely, 200191220 + 200191221.

It is an arithmetic number, because the mean of its divisors is an integer number (200191221).

Almost surely, 2^400382441 is an apocalyptic number.

It is an amenable number.

400382441 is a deficient number, since it is larger than the sum of its proper divisors (1).

400382441 is an equidigital number, since it uses as much as digits as its factorization.

400382441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 400382441 is about 20009.5587407619. The cubic root of 400382441 is about 737.0410457120.

The spelling of 400382441 in words is "four hundred million, three hundred eighty-two thousand, four hundred forty-one".