429966 has 12 divisors (see below), whose sum is σ = 931632. Its totient is φ = 143316.

The previous prime is 429953. The next prime is 429971. The reversal of 429966 is 669924.

429966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×429966² = 369741522312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 429966.

It is a congruent number.

It is an unprimeable number.

429966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 11926 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (77636).

2⁴²⁹⁹⁶⁶ is an apocalyptic number.

429966 is an abundant number, since it is smaller than the sum of its proper divisors (501666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429966 is a wasteful number, since it uses less digits than its factorization.

429966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23895 (or 23892 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 429966 is about 655.7179271608. The cubic root of 429966 is about 75.4764337367.

It can be divided in two parts, 429 and 966, that multiplied together give a palindrome (414414).

The spelling of 429966 in words is "four hundred twenty-nine thousand, nine hundred sixty-six".