413033461 has 2 divisors, whose sum is σ = 413033462. Its totient is φ = 413033460.

The previous prime is 413033459. The next prime is 413033477. The reversal of 413033461 is 164330314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 379509361 + 33524100 = 19481^2 + 5790^2 .

It is a cyclic number.

It is not a de Polignac number, because 413033461 - 2¹ = 413033459 is a prime.

Together with 413033459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413033261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206516730 + 206516731.

It is an arithmetic number, because the mean of its divisors is an integer number (206516731).

Almost surely, 2^413033461 is an apocalyptic number.

It is an amenable number.

413033461 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033461 is an equidigital number, since it uses as much as digits as its factorization.

413033461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 413033461 is about 20323.2246703125. The cubic root of 413033461 is about 744.7235350922.

Adding to 413033461 its reverse (164330314), we get a palindrome (577363775).

The spelling of 413033461 in words is "four hundred thirteen million, thirty-three thousand, four hundred sixty-one".