429839424 has 168 divisors, whose sum is σ = 1491130368. Its totient is φ = 115568640.

The previous prime is 429839401. The next prime is 429839453. The reversal of 429839424 is 424938924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 429839424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65409 + ... + 71679.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^429839424 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 429839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

429839424 is an abundant number, since it is smaller than the sum of its proper divisors (1061290944).

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

429839424 is a wasteful number, since it uses less digits than its factorization.

429839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6300 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 429839424 is about 20732.5691606226. The cubic root of 429839424 is about 754.6902660624.

The spelling of 429839424 in words is "four hundred twenty-nine million, eight hundred thirty-nine thousand, four hundred twenty-four".