429726 has 32 divisors (see below), whose sum is σ = 995328. Its totient is φ = 122240.

The previous prime is 429719. The next prime is 429727. The reversal of 429726 is 627924.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 429693 and 429702.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429726.

It is not an unprimeable number, because it can be changed into a prime (429727) by changing a digit.

429726 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 15 ways as a sum of consecutive naturals, for example, 931 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (31104).

2⁴²⁹⁷²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497664).

429726 is an abundant number, since it is smaller than the sum of its proper divisors (565602).

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

429726 is a wasteful number, since it uses less digits than its factorization.

429726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its digits is 6048, while the sum is 30.

The square root of 429726 is about 655.5348960963. The cubic root of 429726 is about 75.4623878853.

The spelling of 429726 in words is "four hundred twenty-nine thousand, seven hundred twenty-six".