413536016 has 40 divisors (see below), whose sum is σ = 856813464. Its totient is φ = 192665600.

The previous prime is 413535979. The next prime is 413536037. The reversal of 413536016 is 610635314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 335036416 + 78499600 = 18304^2 + 8860^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413536016.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19946 + ... + 34998.

Almost surely, 2^413536016 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 413536016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428406732).

413536016 is an abundant number, since it is smaller than the sum of its proper divisors (443277448).

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

413536016 is a wasteful number, since it uses less digits than its factorization.

413536016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15179 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 413536016 is about 20335.5849682275. The cubic root of 413536016 is about 745.0254580433.

The spelling of 413536016 in words is "four hundred thirteen million, five hundred thirty-six thousand, sixteen".