429050468 has 48 divisors (see below), whose sum is σ = 955248000. Its totient is φ = 167156640.

The previous prime is 429050443. The next prime is 429050519. The reversal of 429050468 is 864050924.

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 15 ways as a sum of consecutive naturals, for example, 878 + ... + 29306.

It is an arithmetic number, because the mean of its divisors is an integer number (19901000).

Almost surely, 2^429050468 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 429050468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477624000).

429050468 is an abundant number, since it is smaller than the sum of its proper divisors (526197532).

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

429050468 is a wasteful number, since it uses less digits than its factorization.

429050468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28465 (or 28449 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 429050468 is about 20713.5334503797. The cubic root of 429050468 is about 754.2282469596.

The spelling of 429050468 in words is "four hundred twenty-nine million, fifty thousand, four hundred sixty-eight".