436532166 has 120 divisors (see below), whose sum is σ = 1150826160. Its totient is φ = 121150080.

The previous prime is 436532077. The next prime is 436532167. The reversal of 436532166 is 661235634.

436532166 is a `hidden beast` number, since 436 + 5 + 3 + 216 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 436532166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436532167) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1906140 + ... + 1906368.

It is an arithmetic number, because the mean of its divisors is an integer number (9590218).

Almost surely, 2^436532166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436532166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575413080).

436532166 is an abundant number, since it is smaller than the sum of its proper divisors (714293994).

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

436532166 is a wasteful number, since it uses less digits than its factorization.

436532166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 282 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 436532166 is about 20893.3521963327. The cubic root of 436532166 is about 758.5870365183.

The spelling of 436532166 in words is "four hundred thirty-six million, five hundred thirty-two thousand, one hundred sixty-six".