429334416 has 120 divisors (see below), whose sum is σ = 1387661184. Its totient is φ = 121374720.

The previous prime is 429334391. The next prime is 429334417. The reversal of 429334416 is 614433924.

It is a happy number.

It is a super-2 number, since 2×429334416² = 368656081524122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (429334417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95581 + ... + 99971.

Almost surely, 2^429334416 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 429334416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693830592).

429334416 is an abundant number, since it is smaller than the sum of its proper divisors (958326768).

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

429334416 is a wasteful number, since it uses less digits than its factorization.

429334416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4500 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 429334416 is about 20720.3864828820. The cubic root of 429334416 is about 754.3945944262.

The spelling of 429334416 in words is "four hundred twenty-nine million, three hundred thirty-four thousand, four hundred sixteen".