429842112 has 224 divisors, whose sum is σ = 1360627200. Its totient is φ = 119669760.

The previous prime is 429842107. The next prime is 429842117. The reversal of 429842112 is 211248924.

It is an interprime number because it is at equal distance from previous prime (429842107) and next prime (429842117).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429842117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4017163 + ... + 4017269.

Almost surely, 2^429842112 is an apocalyptic number.

429842112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

429842112 is an abundant number, since it is smaller than the sum of its proper divisors (930785088).

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

429842112 is a wasteful number, since it uses less digits than its factorization.

429842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 429842112 is about 20732.6339860617. The cubic root of 429842112 is about 754.6918392105.

The spelling of 429842112 in words is "four hundred twenty-nine million, eight hundred forty-two thousand, one hundred twelve".