415409 has 2 divisors, whose sum is σ = 415410. Its totient is φ = 415408.

The previous prime is 415391. The next prime is 415427. The reversal of 415409 is 904514.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (415391) and next prime (415427).

It can be written as a sum of positive squares in only one way, i.e., 394384 + 21025 = 628^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 415409 - 2⁸ = 415153 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (415469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207704 + 207705.

It is an arithmetic number, because the mean of its divisors is an integer number (207705).

2⁴¹⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

415409 is a deficient number, since it is larger than the sum of its proper divisors (1).

415409 is an equidigital number, since it uses as much as digits as its factorization.

415409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 415409 is about 644.5223037258. The cubic root of 415409 is about 74.6148551949.

The spelling of 415409 in words is "four hundred fifteen thousand, four hundred nine".