400416449 has 2 divisors, whose sum is σ = 400416450. Its totient is φ = 400416448.

The previous prime is 400416433. The next prime is 400416493. The reversal of 400416449 is 944614004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 358723600 + 41692849 = 18940^2 + 6457^2 .

It is a cyclic number.

It is not a de Polignac number, because 400416449 - 2⁴ = 400416433 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (400416409) 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, 200208224 + 200208225.

It is an arithmetic number, because the mean of its divisors is an integer number (200208225).

Almost surely, 2^400416449 is an apocalyptic number.

It is an amenable number.

400416449 is a deficient number, since it is larger than the sum of its proper divisors (1).

400416449 is an equidigital number, since it uses as much as digits as its factorization.

400416449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 400416449 is about 20010.4085165696. The cubic root of 400416449 is about 737.0619129126.

The spelling of 400416449 in words is "four hundred million, four hundred sixteen thousand, four hundred forty-nine".