408461 has 2 divisors, whose sum is σ = 408462. Its totient is φ = 408460.

The previous prime is 408437. The next prime is 408469. The reversal of 408461 is 164804.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 366025 + 42436 = 605^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 408461 - 2¹⁰ = 407437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408469) 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, 204230 + 204231.

It is an arithmetic number, because the mean of its divisors is an integer number (204231).

2⁴⁰⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

408461 is a deficient number, since it is larger than the sum of its proper divisors (1).

408461 is an equidigital number, since it uses as much as digits as its factorization.

408461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 408461 is about 639.1095367775. The cubic root of 408461 is about 74.1965192847.

The spelling of 408461 in words is "four hundred eight thousand, four hundred sixty-one".