436401 has 16 divisors (see below), whose sum is σ = 739200. Its totient is φ = 249264.

The previous prime is 436399. The next prime is 436417. The reversal of 436401 is 104634.

436401 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 436401 - 2¹ = 436399 is a prime.

436401 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 436401.

It is not an unprimeable number, because it can be changed into a prime (436481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

2⁴³⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

436401 is a deficient number, since it is larger than the sum of its proper divisors (302799).

436401 is a wasteful number, since it uses less digits than its factorization.

436401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 436401 is about 660.6065394772. The cubic root of 436401 is about 75.8511050675.

The spelling of 436401 in words is "four hundred thirty-six thousand, four hundred one".