429257 has 8 divisors (see below), whose sum is σ = 452352. Its totient is φ = 406800.

The previous prime is 429241. The next prime is 429259. The reversal of 429257 is 752924.

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

It is a cyclic number.

It is not a de Polignac number, because 429257 - 2⁴ = 429241 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429257.

It is not an unprimeable number, because it can be changed into a prime (429259) 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, 1778 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (56544).

2⁴²⁹²⁵⁷ is an apocalyptic number.

It is an amenable number.

429257 is a deficient number, since it is larger than the sum of its proper divisors (23095).

429257 is a wasteful number, since it uses less digits than its factorization.

429257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its digits is 5040, while the sum is 29.

The square root of 429257 is about 655.1770753010. The cubic root of 429257 is about 75.4349248483.

It can be divided in two parts, 429 and 257, that added together give a palindrome (686).

The spelling of 429257 in words is "four hundred twenty-nine thousand, two hundred fifty-seven".