429750 has 48 divisors (see below), whose sum is σ = 1168128. Its totient is φ = 114000.

The previous prime is 429733. The next prime is 429773. The reversal of 429750 is 57924.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429750.

It is an unprimeable number.

429750 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2155 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (24336).

2⁴²⁹⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584064).

429750 is an abundant number, since it is smaller than the sum of its proper divisors (738378).

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

429750 is a wasteful number, since it uses less digits than its factorization.

429750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 429750 is about 655.5532015024. The cubic root of 429750 is about 75.4637927058.

The spelling of 429750 in words is "four hundred twenty-nine thousand, seven hundred fifty".