429484068 has 72 divisors (see below), whose sum is σ = 1173726008. Its totient is φ = 131632128.

The previous prime is 429484067. The next prime is 429484093. The reversal of 429484068 is 860484924.

It can be written as a sum of positive squares in 4 ways, for example, as 31002624 + 398481444 = 5568^2 + 19962^2 .

It is not an unprimeable number, because it can be changed into a prime (429484063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127980 + ... + 131292.

Almost surely, 2^429484068 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 429484068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586863004).

429484068 is an abundant number, since it is smaller than the sum of its proper divisors (744241940).

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

429484068 is a wasteful number, since it uses less digits than its factorization.

429484068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 429484068 is about 20723.9973943253. The cubic root of 429484068 is about 754.4822367091.

The spelling of 429484068 in words is "four hundred twenty-nine million, four hundred eighty-four thousand, sixty-eight".