401400409 has 2 divisors, whose sum is σ = 401400410. Its totient is φ = 401400408.

The previous prime is 401400401. The next prime is 401400437. The reversal of 401400409 is 904004104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 392158809 + 9241600 = 19803^2 + 3040^2 .

It is a cyclic number.

It is not a de Polignac number, because 401400409 - 2³ = 401400401 is a prime.

It is a super-2 number, since 2×401400409² = 322244576690734562, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401400409.

It is not a weakly prime, because it can be changed into another prime (401400401) 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, 200700204 + 200700205.

It is an arithmetic number, because the mean of its divisors is an integer number (200700205).

Almost surely, 2^401400409 is an apocalyptic number.

It is an amenable number.

401400409 is a deficient number, since it is larger than the sum of its proper divisors (1).

401400409 is an equidigital number, since it uses as much as digits as its factorization.

401400409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 401400409 is about 20034.9796356273. The cubic root of 401400409 is about 737.6651566918.

The spelling of 401400409 in words is "four hundred one million, four hundred thousand, four hundred nine".