436041216 has 240 divisors, whose sum is σ = 1407566160. Its totient is φ = 129024000.

The previous prime is 436041197. The next prime is 436041253. The reversal of 436041216 is 612140634.

436041216 is a `hidden beast` number, since 43 + 604 + 1 + 2 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 436041216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737091 + ... + 1737341.

It is an arithmetic number, because the mean of its divisors is an integer number (5864859).

Almost surely, 2^436041216 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 436041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703783080).

436041216 is an abundant number, since it is smaller than the sum of its proper divisors (971524944).

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

436041216 is a wasteful number, since it uses less digits than its factorization.

436041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 436041216 is about 20881.5999387020. The cubic root of 436041216 is about 758.3025458284.

The spelling of 436041216 in words is "four hundred thirty-six million, forty-one thousand, two hundred sixteen".