429680 has 40 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 166400.

The previous prime is 429679. The next prime is 429683. The reversal of 429680 is 86924.

429680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429683) 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, 3215 + ... + 3345.

2⁴²⁹⁶⁸⁰ is an apocalyptic number.

429680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 655×656.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

429680 is an abundant number, since it is smaller than the sum of its proper divisors (601504).

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

429680 is a wasteful number, since it uses less digits than its factorization.

429680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 429680 is about 655.4998093058. The cubic root of 429680 is about 75.4596951666.

The spelling of 429680 in words is "four hundred twenty-nine thousand, six hundred eighty".