416731332 has 48 divisors (see below), whose sum is σ = 1029369600. Its totient is φ = 130851360.

The previous prime is 416731331. The next prime is 416731369. The reversal of 416731332 is 233137614.

It is a self number, because there is not a number n which added to its sum of digits gives 416731332.

It is not an unprimeable number, because it can be changed into a prime (416731331) 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, 35707 + ... + 45917.

It is an arithmetic number, because the mean of its divisors is an integer number (21445200).

Almost surely, 2^416731332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416731332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514684800).

416731332 is an abundant number, since it is smaller than the sum of its proper divisors (612638268).

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

416731332 is a wasteful number, since it uses less digits than its factorization.

416731332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10414 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 416731332 is about 20413.9984324483. The cubic root of 416731332 is about 746.9394279651.

Adding to 416731332 its reverse (233137614), we get a palindrome (649868946).

The spelling of 416731332 in words is "four hundred sixteen million, seven hundred thirty-one thousand, three hundred thirty-two".