434688 has 40 divisors (see below), whose sum is σ = 1162128. Its totient is φ = 144384.

The previous prime is 434683. The next prime is 434689. The reversal of 434688 is 886434.

434688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (18432) is a multiple of the sum of its prime divisors (288).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 434688.

It is not an unprimeable number, because it can be changed into a prime (434683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1395 + ... + 1677.

2⁴³⁴⁶⁸⁸ is an apocalyptic number.

434688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581064).

434688 is an abundant number, since it is smaller than the sum of its proper divisors (727440).

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

434688 is an equidigital number, since it uses as much as digits as its factorization.

434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 434688 is about 659.3087288972. The cubic root of 434688 is about 75.7517290938.

The spelling of 434688 in words is "four hundred thirty-four thousand, six hundred eighty-eight".