409477 has 2 divisors, whose sum is σ = 409478. Its totient is φ = 409476.

The previous prime is 409471. The next prime is 409483. The reversal of 409477 is 774904.

It is a balanced prime because it is at equal distance from previous prime (409471) and next prime (409483).

It can be written as a sum of positive squares in only one way, i.e., 408321 + 1156 = 639^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 409477 - 2⁷ = 409349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409471) 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, 204738 + 204739.

It is an arithmetic number, because the mean of its divisors is an integer number (204739).

2⁴⁰⁹⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

409477 is a deficient number, since it is larger than the sum of its proper divisors (1).

409477 is an equidigital number, since it uses as much as digits as its factorization.

409477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 409477 is about 639.9038990348. The cubic root of 409477 is about 74.2579867990.

The spelling of 409477 in words is "four hundred nine thousand, four hundred seventy-seven".