429974328 has 128 divisors (see below), whose sum is σ = 1290240000. Its totient is φ = 116747136.

The previous prime is 429974317. The next prime is 429974333. The reversal of 429974328 is 823479924.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 861423 + ... + 861921.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 2^429974328 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 429974328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120000).

429974328 is an abundant number, since it is smaller than the sum of its proper divisors (860265672).

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

429974328 is a wasteful number, since it uses less digits than its factorization.

429974328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 429974328 is about 20735.8223372019. The cubic root of 429974328 is about 754.7692103385.

The spelling of 429974328 in words is "four hundred twenty-nine million, nine hundred seventy-four thousand, three hundred twenty-eight".