436964 has 12 divisors (see below), whose sum is σ = 834288. Its totient is φ = 198600.

The previous prime is 436963. The next prime is 436967. The reversal of 436964 is 469634.

436964 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 436964.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 436964.

It is not an unprimeable number, because it can be changed into a prime (436963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4922 + ... + 5009.

It is an arithmetic number, because the mean of its divisors is an integer number (69524).

2⁴³⁶⁹⁶⁴ is an apocalyptic number.

436964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

436964 is a deficient number, since it is larger than the sum of its proper divisors (397324).

436964 is a wasteful number, since it uses less digits than its factorization.

436964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9944 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 436964 is about 661.0325256748. The cubic root of 436964 is about 75.8837095002.

It can be divided in two parts, 43 and 6964, that added together give a palindrome (7007).

The spelling of 436964 in words is "four hundred thirty-six thousand, nine hundred sixty-four".