436864 has 16 divisors (see below), whose sum is σ = 870570. Its totient is φ = 218368.

The previous prime is 436853. The next prime is 436871. The reversal of 436864 is 468634.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 166464 = 520^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1579 + ... + 1834.

2⁴³⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

436864 is a deficient number, since it is larger than the sum of its proper divisors (433706).

436864 is an equidigital number, since it uses as much as digits as its factorization.

436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3415 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 436864 is about 660.9568821035. The cubic root of 436864 is about 75.8779203506.

It can be divided in two parts, 4 and 36864, that multiplied together give a square (147456 = 384²).

The spelling of 436864 in words is "four hundred thirty-six thousand, eight hundred sixty-four".