416332241 has 8 divisors (see below), whose sum is σ = 448638120. Its totient is φ = 384066432.

The previous prime is 416332219. The next prime is 416332243. The reversal of 416332241 is 142233614.

It can be written as a sum of positive squares in 4 ways, for example, as 9025 + 416323216 = 95^2 + 20404^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416332241 - 2¹⁴ = 416315857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416332241.

It is not an unprimeable number, because it can be changed into a prime (416332243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13655 + ... + 31923.

It is an arithmetic number, because the mean of its divisors is an integer number (56079765).

Almost surely, 2^416332241 is an apocalyptic number.

It is an amenable number.

416332241 is a deficient number, since it is larger than the sum of its proper divisors (32305879).

416332241 is a wasteful number, since it uses less digits than its factorization.

416332241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20035.

The product of its digits is 3456, while the sum is 26.

The square root of 416332241 is about 20404.2211564176. The cubic root of 416332241 is about 746.7009113714.

Adding to 416332241 its reverse (142233614), we get a palindrome (558565855).

The spelling of 416332241 in words is "four hundred sixteen million, three hundred thirty-two thousand, two hundred forty-one".