413320016 has 60 divisors (see below), whose sum is σ = 839089524. Its totient is φ = 197107200.

The previous prime is 413320013. The next prime is 413320027. The reversal of 413320016 is 610023314.

It can be written as a sum of positive squares in 2 ways, for example, as 10916416 + 402403600 = 3304^2 + 20060^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413320016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413320013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283446 + ... + 2283626.

Almost surely, 2^413320016 is an apocalyptic number.

It is an amenable number.

413320016 is an abundant number, since it is smaller than the sum of its proper divisors (425769508).

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

413320016 is a wasteful number, since it uses less digits than its factorization.

413320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 413320016 is about 20330.2733872420. The cubic root of 413320016 is about 744.8957204314.

The spelling of 413320016 in words is "four hundred thirteen million, three hundred twenty thousand, sixteen".