429969384 has 160 divisors (see below), whose sum is σ = 1328231520. Its totient is φ = 129112704.

The previous prime is 429969367. The next prime is 429969391. The reversal of 429969384 is 483969924.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 429969384.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 361639 + ... + 362825.

It is an arithmetic number, because the mean of its divisors is an integer number (8301447).

Almost surely, 2^429969384 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 429969384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664115760).

429969384 is an abundant number, since it is smaller than the sum of its proper divisors (898262136).

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

429969384 is a wasteful number, since it uses less digits than its factorization.

429969384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1248 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 429969384 is about 20735.7031228748. The cubic root of 429969384 is about 754.7663174578.

The spelling of 429969384 in words is "four hundred twenty-nine million, nine hundred sixty-nine thousand, three hundred eighty-four".