436164 has 24 divisors (see below), whose sum is σ = 1071840. Its totient is φ = 137664.

The previous prime is 436157. The next prime is 436171. The reversal of 436164 is 461634.

436164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (436157) and next prime (436171).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 436164.

It is an unprimeable number.

436164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (44660).

2⁴³⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

436164 is an abundant number, since it is smaller than the sum of its proper divisors (635676).

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

436164 is a wasteful number, since it uses less digits than its factorization.

436164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1937 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 436164 is about 660.4271345122. The cubic root of 436164 is about 75.8373715463.

Adding to 436164 its reverse (461634), we get a palindrome (897798).

The spelling of 436164 in words is "four hundred thirty-six thousand, one hundred sixty-four".