264729 has 8 divisors (see below), whose sum is σ = 357760. Its totient is φ = 174096.

The previous prime is 264697. The next prime is 264731. The reversal of 264729 is 927462.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 264729 - 2⁵ = 264697 is a prime.

It is a Duffinian number.

264729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 264696 and 264705.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264729.

It is not an unprimeable number, because it can be changed into a prime (264739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (44720).

2²⁶⁴⁷²⁹ is an apocalyptic number.

It is an amenable number.

264729 is a deficient number, since it is larger than the sum of its proper divisors (93031).

264729 is a wasteful number, since it uses less digits than its factorization.

264729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199.

The product of its digits is 6048, while the sum is 30.

The square root of 264729 is about 514.5182212517. The cubic root of 264729 is about 64.2096801234.

The spelling of 264729 in words is "two hundred sixty-four thousand, seven hundred twenty-nine".