429696 has 48 divisors (see below), whose sum is σ = 1239810. Its totient is φ = 142848.

The previous prime is 429683. The next prime is 429701. The reversal of 429696 is 696924.

429696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 69696 = 600^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 429696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 966 + ... + 1338.

2⁴²⁹⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619905).

429696 is an abundant number, since it is smaller than the sum of its proper divisors (810114).

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

429696 is a wasteful number, since it uses less digits than its factorization.

429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

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

The square root of 429696 is about 655.5120136199. The cubic root of 429696 is about 75.4606317862.

The spelling of 429696 in words is "four hundred twenty-nine thousand, six hundred ninety-six".