405729 has 10 divisors (see below), whose sum is σ = 606210. Its totient is φ = 270432.

The previous prime is 405719. The next prime is 405731. The reversal of 405729 is 927504.

405729 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 342225 + 63504 = 585^2 + 252^2 .

It is not a de Polignac number, because 405729 - 2⁸ = 405473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

405729 is a modest number, since divided by 729 gives 405 as remainder.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (405709) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2424 + ... + 2585.

It is an arithmetic number, because the mean of its divisors is an integer number (60621).

2⁴⁰⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

405729 is a deficient number, since it is larger than the sum of its proper divisors (200481).

405729 is an equidigital number, since it uses as much as digits as its factorization.

405729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 405729 is about 636.9686020519. The cubic root of 405729 is about 74.0307274388.

The spelling of 405729 in words is "four hundred five thousand, seven hundred twenty-nine".