264429 has 12 divisors (see below), whose sum is σ = 416832. Its totient is φ = 160200.

The previous prime is 264403. The next prime is 264437. The reversal of 264429 is 924462.

264429 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 264429 - 2⁷ = 264301 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 6² + 4³ + 4⁹ + 2¹¹ + 9 .

264429 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264029) 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, 1237 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (34736).

2²⁶⁴⁴²⁹ is an apocalyptic number.

It is an amenable number.

264429 is a deficient number, since it is larger than the sum of its proper divisors (152403).

264429 is a wasteful number, since it uses less digits than its factorization.

264429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2685 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 264429 is about 514.2266037459. The cubic root of 264429 is about 64.1854160835.

The spelling of 264429 in words is "two hundred sixty-four thousand, four hundred twenty-nine".