405401 has 2 divisors, whose sum is σ = 405402. Its totient is φ = 405400.

The previous prime is 405373. The next prime is 405407. The reversal of 405401 is 104504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225625 + 179776 = 475^2 + 424^2 .

It is a cyclic number.

It is not a de Polignac number, because 405401 - 2¹⁸ = 143257 is a prime.

It is not a weakly prime, because it can be changed into another prime (405407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202700 + 202701.

It is an arithmetic number, because the mean of its divisors is an integer number (202701).

2⁴⁰⁵⁴⁰¹ is an apocalyptic number.

It is an amenable number.

405401 is a deficient number, since it is larger than the sum of its proper divisors (1).

405401 is an equidigital number, since it uses as much as digits as its factorization.

405401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 405401 is about 636.7110804753. The cubic root of 405401 is about 74.0107727195.

Adding to 405401 its reverse (104504), we get a palindrome (509905).

The spelling of 405401 in words is "four hundred five thousand, four hundred one".