429963 has 8 divisors (see below), whose sum is σ = 576576. Its totient is φ = 285000.

The previous prime is 429953. The next prime is 429971. The reversal of 429963 is 369924.

429963 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 429963 - 2⁵ = 429931 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429963.

It is not an unprimeable number, because it can be changed into a prime (429943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

2⁴²⁹⁹⁶³ is an apocalyptic number.

429963 is a deficient number, since it is larger than the sum of its proper divisors (146613).

429963 is a wasteful number, since it uses less digits than its factorization.

429963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825.

The product of its digits is 11664, while the sum is 33.

The square root of 429963 is about 655.7156395878. The cubic root of 429963 is about 75.4762581958.

The spelling of 429963 in words is "four hundred twenty-nine thousand, nine hundred sixty-three".