429345 has 48 divisors (see below), whose sum is σ = 898560. Its totient is φ = 185472.

The previous prime is 429329. The next prime is 429347. The reversal of 429345 is 543924.

It is not a de Polignac number, because 429345 - 2⁴ = 429329 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (429347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9112 + ... + 9158.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

429345 is a Friedman number, since it can be written as 423*(4^5-9), using all its digits and the basic arithmetic operations.

2⁴²⁹³⁴⁵ is an apocalyptic number.

429345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429345 is an abundant number, since it is smaller than the sum of its proper divisors (469215).

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

429345 is a wasteful number, since it uses less digits than its factorization.

429345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 91 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 429345 is about 655.2442292764. The cubic root of 429345 is about 75.4400793515.

The spelling of 429345 in words is "four hundred twenty-nine thousand, three hundred forty-five".