416441312 has 48 divisors (see below), whose sum is σ = 977743872. Its totient is φ = 170712960.

The previous prime is 416441303. The next prime is 416441317. The reversal of 416441312 is 213144614.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416441317) 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 7 ways as a sum of consecutive naturals, for example, 35264 + ... + 45567.

It is an arithmetic number, because the mean of its divisors is an integer number (20369664).

Almost surely, 2^416441312 is an apocalyptic number.

It is an amenable number.

416441312 is an abundant number, since it is smaller than the sum of its proper divisors (561302560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416441312 is a wasteful number, since it uses less digits than its factorization.

416441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80871 (or 80863 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 416441312 is about 20406.8937371664. The cubic root of 416441312 is about 746.7661127466.

Adding to 416441312 its reverse (213144614), we get a palindrome (629585926).

The spelling of 416441312 in words is "four hundred sixteen million, four hundred forty-one thousand, three hundred twelve".