432920 has 32 divisors (see below), whose sum is σ = 993600. Its totient is φ = 169728.

The previous prime is 432907. The next prime is 432923. The reversal of 432920 is 29234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 432892 and 432901.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432920.

It is not an unprimeable number, because it can be changed into a prime (432923) by changing a digit.

432920 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, 3092 + ... + 3228.

It is an arithmetic number, because the mean of its divisors is an integer number (31050).

2⁴³²⁹²⁰ is an apocalyptic number.

432920 is a gapful number since it is divisible by the number (40) 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 432920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496800).

432920 is an abundant number, since it is smaller than the sum of its proper divisors (560680).

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

432920 is a wasteful number, since it uses less digits than its factorization.

432920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 432920 is about 657.9665645001. The cubic root of 432920 is about 75.6488882484.

The spelling of 432920 in words is "four hundred thirty-two thousand, nine hundred twenty".