436422816 has 120 divisors (see below), whose sum is σ = 1293928020. Its totient is φ = 144294912.

The previous prime is 436422797. The next prime is 436422817. The reversal of 436422816 is 618224634.

436422816 is a `hidden beast` number, since 4 + 3 + 642 + 2 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 376515216 + 59907600 = 19404^2 + 7740^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (436422817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354490 + ... + 355718.

Almost surely, 2^436422816 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 436422816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646964010).

436422816 is an abundant number, since it is smaller than the sum of its proper divisors (857505204).

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

436422816 is a wasteful number, since it uses less digits than its factorization.

436422816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1371 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 436422816 is about 20890.7351713624. The cubic root of 436422816 is about 758.5236899685.

The spelling of 436422816 in words is "four hundred thirty-six million, four hundred twenty-two thousand, eight hundred sixteen".