429871104 has 312 divisors, whose sum is σ = 1438994880. Its totient is φ = 126517248.

The previous prime is 429871103. The next prime is 429871121. The reversal of 429871104 is 401178924.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429871103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18690037 + ... + 18690059.

Almost surely, 2^429871104 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 429871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719497440).

429871104 is an abundant number, since it is smaller than the sum of its proper divisors (1009123776).

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

429871104 is a wasteful number, since it uses less digits than its factorization.

429871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 429871104 is about 20733.3331618435. Note that the first 3 decimals coincide. The cubic root of 429871104 is about 754.7088063195.

The spelling of 429871104 in words is "four hundred twenty-nine million, eight hundred seventy-one thousand, one hundred four".