429424772 has 36 divisors (see below), whose sum is σ = 887503680. Its totient is φ = 178091280.

The previous prime is 429424769. The next prime is 429424799. The reversal of 429424772 is 277424924.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18929 + ... + 34887.

It is an arithmetic number, because the mean of its divisors is an integer number (24652880).

Almost surely, 2^429424772 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 429424772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443751840).

429424772 is an abundant number, since it is smaller than the sum of its proper divisors (458078908).

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

429424772 is a wasteful number, since it uses less digits than its factorization.

429424772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16032 (or 15999 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 429424772 is about 20722.5667329122. The cubic root of 429424772 is about 754.4475130013.

The spelling of 429424772 in words is "four hundred twenty-nine million, four hundred twenty-four thousand, seven hundred seventy-two".