429678 has 32 divisors (see below), whose sum is σ = 976800. Its totient is φ = 139968.

The previous prime is 429677. The next prime is 429679. The reversal of 429678 is 876924.

It is an interprime number because it is at equal distance from previous prime (429677) and next prime (429679).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3888 + ... + 3996.

It is an arithmetic number, because the mean of its divisors is an integer number (30525).

2⁴²⁹⁶⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488400).

429678 is an abundant number, since it is smaller than the sum of its proper divisors (547122).

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

429678 is a wasteful number, since it uses less digits than its factorization.

429678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 429678 is about 655.4982837506. The cubic root of 429678 is about 75.4595780876.

The spelling of 429678 in words is "four hundred twenty-nine thousand, six hundred seventy-eight".