429920 has 24 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 171904.

The previous prime is 429917. The next prime is 429929. The reversal of 429920 is 29924.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 429920.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 1184 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

2⁴²⁹⁹²⁰ is an apocalyptic number.

429920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429920 is an abundant number, since it is smaller than the sum of its proper divisors (586144).

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

429920 is a wasteful number, since it uses less digits than its factorization.

429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 429920 is about 655.6828501646. The cubic root of 429920 is about 75.4737420201.

The spelling of 429920 in words is "four hundred twenty-nine thousand, nine hundred twenty".