465729 has 12 divisors (see below), whose sum is σ = 683088. Its totient is φ = 282040.

The previous prime is 465721. The next prime is 465739. The reversal of 465729 is 927564.

It is not a de Polignac number, because 465729 - 2³ = 465721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

465729 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 465729.

It is not an unprimeable number, because it can be changed into a prime (465721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (56924).

2⁴⁶⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

465729 is a deficient number, since it is larger than the sum of its proper divisors (217359).

465729 is a wasteful number, since it uses less digits than its factorization.

465729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 465729 is about 682.4434042468. The cubic root of 465729 is about 77.5135737585.

It can be divided in two parts, 46 and 5729, that added together give a palindrome (5775).

The spelling of 465729 in words is "four hundred sixty-five thousand, seven hundred twenty-nine".