429968 has 40 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 167040.

The previous prime is 429953. The next prime is 429971. The reversal of 429968 is 869924.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1058 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁴²⁹⁹⁶⁸ 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 429968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

429968 is an abundant number, since it is smaller than the sum of its proper divisors (611632).

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

429968 is a wasteful number, since it uses less digits than its factorization.

429968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 429968 is about 655.7194522050. The cubic root of 429968 is about 75.4765507635.

The spelling of 429968 in words is "four hundred twenty-nine thousand, nine hundred sixty-eight".