432820 has 48 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 152064.

The previous prime is 432799. The next prime is 432833. The reversal of 432820 is 28234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6427 + ... + 6493.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2⁴³²⁸²⁰ 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 432820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

432820 is an abundant number, since it is smaller than the sum of its proper divisors (595340).

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

432820 is a wasteful number, since it uses less digits than its factorization.

432820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 432820 is about 657.8905684078. The cubic root of 432820 is about 75.6430630987.

The spelling of 432820 in words is "four hundred thirty-two thousand, eight hundred twenty".