429444 has 36 divisors (see below), whose sum is σ = 1106560. Its totient is φ = 140400.

The previous prime is 429431. The next prime is 429449. The reversal of 429444 is 444924.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429444.

It is not an unprimeable number, because it can be changed into a prime (429449) by changing a digit.

429444 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2769 + ... + 2919.

2⁴²⁹⁴⁴⁴ 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 429444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553280).

429444 is an abundant number, since it is smaller than the sum of its proper divisors (677116).

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

429444 is a wasteful number, since it uses less digits than its factorization.

429444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 429444 is about 655.3197692730. The cubic root of 429444 is about 75.4458773259.

The spelling of 429444 in words is "four hundred twenty-nine thousand, four hundred forty-four".