413440033 has 2 divisors, whose sum is σ = 413440034. Its totient is φ = 413440032.

The previous prime is 413440007. The next prime is 413440073. The reversal of 413440033 is 330044314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408524944 + 4915089 = 20212^2 + 2217^2 .

It is a cyclic number.

It is not a de Polignac number, because 413440033 - 2²¹ = 411342881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413439986 and 413440013.

It is not a weakly prime, because it can be changed into another prime (413440073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206720016 + 206720017.

It is an arithmetic number, because the mean of its divisors is an integer number (206720017).

Almost surely, 2^413440033 is an apocalyptic number.

It is an amenable number.

413440033 is a deficient number, since it is larger than the sum of its proper divisors (1).

413440033 is an equidigital number, since it uses as much as digits as its factorization.

413440033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 413440033 is about 20333.2248549019. The cubic root of 413440033 is about 744.9678126718.

Adding to 413440033 its reverse (330044314), we get a palindrome (743484347).

The spelling of 413440033 in words is "four hundred thirteen million, four hundred forty thousand, thirty-three".