413332241 has 16 divisors (see below), whose sum is σ = 503414784. Its totient is φ = 331664784.

The previous prime is 413332177. The next prime is 413332247. The reversal of 413332241 is 142233314.

It is not a de Polignac number, because 413332241 - 2⁶ = 413332177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413332247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19745 + ... + 34878.

It is an arithmetic number, because the mean of its divisors is an integer number (31463424).

Almost surely, 2^413332241 is an apocalyptic number.

It is an amenable number.

413332241 is a deficient number, since it is larger than the sum of its proper divisors (90082543).

413332241 is a wasteful number, since it uses less digits than its factorization.

413332241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54700.

The product of its digits is 1728, while the sum is 23.

The square root of 413332241 is about 20330.5740450190. The cubic root of 413332241 is about 744.9030644264.

Adding to 413332241 its reverse (142233314), we get a palindrome (555565555).

The spelling of 413332241 in words is "four hundred thirteen million, three hundred thirty-two thousand, two hundred forty-one".