429936 has 60 divisors (see below), whose sum is σ = 1225368. Its totient is φ = 129792.

The previous prime is 429931. The next prime is 429937. The reversal of 429936 is 639924.

It is a junction number, because it is equal to n+sod(n) for n = 429897 and 429906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8086 + ... + 8138.

2⁴²⁹⁹³⁶ 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 429936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612684).

429936 is an abundant number, since it is smaller than the sum of its proper divisors (795432).

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

429936 is a wasteful number, since it uses less digits than its factorization.

429936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

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

The square root of 429936 is about 655.6950510718. The cubic root of 429936 is about 75.4746782911.

The spelling of 429936 in words is "four hundred twenty-nine thousand, nine hundred thirty-six".