401310409 has 2 divisors, whose sum is σ = 401310410. Its totient is φ = 401310408.

The previous prime is 401310373. The next prime is 401310433. The reversal of 401310409 is 904013104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 377447184 + 23863225 = 19428^2 + 4885^2 .

It is a cyclic number.

It is not a de Polignac number, because 401310409 - 2⁷ = 401310281 is a prime.

It is a super-2 number, since 2×401310409² = 322100088743494562, which contains 22 as substring.

It is a Chen prime.

It is equal to p_21402238 and since 401310409 and 21402238 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401310409.

It is not a weakly prime, because it can be changed into another prime (401310479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200655204 + 200655205.

It is an arithmetic number, because the mean of its divisors is an integer number (200655205).

Almost surely, 2^401310409 is an apocalyptic number.

It is an amenable number.

401310409 is a deficient number, since it is larger than the sum of its proper divisors (1).

401310409 is an equidigital number, since it uses as much as digits as its factorization.

401310409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 401310409 is about 20032.7334380508. The cubic root of 401310409 is about 737.6100207020.

The spelling of 401310409 in words is "four hundred one million, three hundred ten thousand, four hundred nine".