436368816 has 240 divisors, whose sum is σ = 1397827200. Its totient is φ = 130201344.

The previous prime is 436368797. The next prime is 436368817. The reversal of 436368816 is 618863634.

436368816 is a `hidden beast` number, since 4 + 3 + 636 + 8 + 8 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (436368817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3139275 + ... + 3139413.

It is an arithmetic number, because the mean of its divisors is an integer number (5824280).

Almost surely, 2^436368816 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 436368816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698913600).

436368816 is an abundant number, since it is smaller than the sum of its proper divisors (961458384).

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

436368816 is a wasteful number, since it uses less digits than its factorization.

436368816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 436368816 is about 20889.4426924224. The cubic root of 436368816 is about 758.4924038187.

The spelling of 436368816 in words is "four hundred thirty-six million, three hundred sixty-eight thousand, eight hundred sixteen".