429858 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 119520.

The previous prime is 429853. The next prime is 429881. The reversal of 429858 is 858924.

It is not an unprimeable number, because it can be changed into a prime (429851) by changing a digit.

429858 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁴²⁹⁸⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

429858 is an abundant number, since it is smaller than the sum of its proper divisors (670878).

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

429858 is a wasteful number, since it uses less digits than its factorization.

429858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 196 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 429858 is about 655.6355695049. The cubic root of 429858 is about 75.4701137505.

It can be divided in two parts, 4298 and 58, that added together give a square (4356 = 66²).

The spelling of 429858 in words is "four hundred twenty-nine thousand, eight hundred fifty-eight".