429921 has 8 divisors (see below), whose sum is σ = 636960. Its totient is φ = 286596.

The previous prime is 429917. The next prime is 429929. The reversal of 429921 is 129924.

429921 = 29² + 30² + ... + 109².

It is not a de Polignac number, because 429921 - 2² = 429917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15923 = 429921 / (4 + 2 + 9 + 9 + 2 + 1).

429921 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (429929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7935 + ... + 7988.

It is an arithmetic number, because the mean of its divisors is an integer number (79620).

2⁴²⁹⁹²¹ is an apocalyptic number.

It is an amenable number.

429921 is a deficient number, since it is larger than the sum of its proper divisors (207039).

429921 is a wasteful number, since it uses less digits than its factorization.

429921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15932 (or 15926 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 429921 is about 655.6836127280. The cubic root of 429921 is about 75.4738005377.

The spelling of 429921 in words is "four hundred twenty-nine thousand, nine hundred twenty-one".