429887568 has 160 divisors (see below), whose sum is σ = 1311344640. Its totient is φ = 119879680.

The previous prime is 429887537. The next prime is 429887593. The reversal of 429887568 is 865788924.

It is a super-3 number, since 3×429887568³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 421363 + ... + 422381.

It is an arithmetic number, because the mean of its divisors is an integer number (8195904).

Almost surely, 2^429887568 is an apocalyptic number.

429887568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429887568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655672320).

429887568 is an abundant number, since it is smaller than the sum of its proper divisors (881457072).

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

429887568 is a wasteful number, since it uses less digits than its factorization.

429887568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The square root of 429887568 is about 20733.7301998459. The cubic root of 429887568 is about 754.7184412752.

The spelling of 429887568 in words is "four hundred twenty-nine million, eight hundred eighty-seven thousand, five hundred sixty-eight".