430688 has 24 divisors (see below), whose sum is σ = 870408. Its totient is φ = 209664.

The previous prime is 430663. The next prime is 430691. The reversal of 430688 is 886034.

It is a self number, because there is not a number n which added to its sum of digits gives 430688.

It is a congruent number.

It is an unprimeable number.

430688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1220 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (36267).

2⁴³⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435204).

430688 is an abundant number, since it is smaller than the sum of its proper divisors (439720).

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

430688 is a wasteful number, since it uses less digits than its factorization.

430688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 430688 is about 656.2682378418. The cubic root of 430688 is about 75.5186568515.

The spelling of 430688 in words is "four hundred thirty thousand, six hundred eighty-eight".