432684 has 72 divisors (see below), whose sum is σ = 1336608. Its totient is φ = 115200.

The previous prime is 432661. The next prime is 432713. The reversal of 432684 is 486234.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4234 + ... + 4334.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2⁴³²⁶⁸⁴ 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 432684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304).

432684 is an abundant number, since it is smaller than the sum of its proper divisors (903924).

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

432684 is a wasteful number, since it uses less digits than its factorization.

432684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 432684 is about 657.7871996322. The cubic root of 432684 is about 75.6351394551.

The spelling of 432684 in words is "four hundred thirty-two thousand, six hundred eighty-four".