429984632 has 192 divisors, whose sum is σ = 1103155200. Its totient is φ = 153331200.

The previous prime is 429984631. The next prime is 429984637. The reversal of 429984632 is 236489924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429984631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4831244 + ... + 4831332.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^429984632 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 429984632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

429984632 is an abundant number, since it is smaller than the sum of its proper divisors (673170568).

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

429984632 is a wasteful number, since it uses less digits than its factorization.

429984632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 429984632 is about 20736.0707946322. The cubic root of 429984632 is about 754.7752394425.

The spelling of 429984632 in words is "four hundred twenty-nine million, nine hundred eighty-four thousand, six hundred thirty-two".