429460 has 24 divisors (see below), whose sum is σ = 914760. Its totient is φ = 169344.

The previous prime is 429449. The next prime is 429463. The reversal of 429460 is 64924.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 232324 = 444^2 + 482^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429463) by changing a digit.

429460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2082 + ... + 2278.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

2⁴²⁹⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

429460 is an abundant number, since it is smaller than the sum of its proper divisors (485300).

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

429460 is a wasteful number, since it uses less digits than its factorization.

429460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 429460 is about 655.3319769399. The cubic root of 429460 is about 75.4468142886.

The spelling of 429460 in words is "four hundred twenty-nine thousand, four hundred sixty".