410415461 has 2 divisors, whose sum is σ = 410415462. Its totient is φ = 410415460.

The previous prime is 410415457. The next prime is 410415463. The reversal of 410415461 is 164514014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253414561 + 157000900 = 15919^2 + 12530^2 .

It is a cyclic number.

It is not a de Polignac number, because 410415461 - 2² = 410415457 is a prime.

Together with 410415463, it forms a pair of twin primes.

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 410415461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (410415463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205207730 + 205207731.

It is an arithmetic number, because the mean of its divisors is an integer number (205207731).

Almost surely, 2^410415461 is an apocalyptic number.

It is an amenable number.

410415461 is a deficient number, since it is larger than the sum of its proper divisors (1).

410415461 is an equidigital number, since it uses as much as digits as its factorization.

410415461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 410415461 is about 20258.7132118504. The cubic root of 410415461 is about 743.1467297331.

Adding to 410415461 its reverse (164514014), we get a palindrome (574929475).

The spelling of 410415461 in words is "four hundred ten million, four hundred fifteen thousand, four hundred sixty-one".