429997632 has 56 divisors (see below), whose sum is σ = 1152144000. Its totient is φ = 141513216.

The previous prime is 429997577. The next prime is 429997637. The reversal of 429997632 is 236799924.

It is not an unprimeable number, because it can be changed into a prime (429997637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994 + ... + 29342.

It is an arithmetic number, because the mean of its divisors is an integer number (20574000).

Almost surely, 2^429997632 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 429997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072000).

429997632 is an abundant number, since it is smaller than the sum of its proper divisors (722146368).

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

429997632 is a wasteful number, since it uses less digits than its factorization.

429997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28443 (or 28433 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 429997632 is about 20736.3842556990. The cubic root of 429997632 is about 754.7828458998.

The spelling of 429997632 in words is "four hundred twenty-nine million, nine hundred ninety-seven thousand, six hundred thirty-two".