429679872 has 108 divisors (see below), whose sum is σ = 1245482784. Its totient is φ = 142464000.

The previous prime is 429679867. The next prime is 429679897. The reversal of 429679872 is 278976924.

429679872 is a `hidden beast` number, since 429 + 67 + 98 + 72 = 666.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 577933 + ... + 578675.

It is an arithmetic number, because the mean of its divisors is an integer number (11532248).

Almost surely, 2^429679872 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 429679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622741392).

429679872 is an abundant number, since it is smaller than the sum of its proper divisors (815802912).

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

429679872 is a wasteful number, since it uses less digits than its factorization.

429679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 999 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 429679872 is about 20728.7209446217. The cubic root of 429679872 is about 754.5968767359.

The spelling of 429679872 in words is "four hundred twenty-nine million, six hundred seventy-nine thousand, eight hundred seventy-two".