401311409 has 2 divisors, whose sum is σ = 401311410. Its totient is φ = 401311408.

The previous prime is 401311363. The next prime is 401311423. The reversal of 401311409 is 904113104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386319025 + 14992384 = 19655^2 + 3872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401311409 is a prime.

It is a super-2 number, since 2×401311409² = 322101693987130562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401311489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200655704 + 200655705.

It is an arithmetic number, because the mean of its divisors is an integer number (200655705).

Almost surely, 2^401311409 is an apocalyptic number.

It is an amenable number.

401311409 is a deficient number, since it is larger than the sum of its proper divisors (1).

401311409 is an equidigital number, since it uses as much as digits as its factorization.

401311409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 401311409 is about 20032.7583971853. The cubic root of 401311409 is about 737.6106333694.

The spelling of 401311409 in words is "four hundred one million, three hundred eleven thousand, four hundred nine".