322432 has 32 divisors (see below), whose sum is σ = 703800. Its totient is φ = 145920.

The previous prime is 322429. The next prime is 322433. The reversal of 322432 is 234223.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1294 + ... + 1522.

2³²²⁴³² is an apocalyptic number.

322432 is a gapful number since it is divisible by the number (32) 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 322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351900).

322432 is an abundant number, since it is smaller than the sum of its proper divisors (381368).

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

322432 is a wasteful number, since it uses less digits than its factorization.

322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 288, while the sum is 16.

The square root of 322432 is about 567.8309607621. The cubic root of 322432 is about 68.5718783039.

Adding to 322432 its reverse (234223), we get a palindrome (556655).

Subtracting from 322432 its reverse (234223), we obtain a square (88209 = 297²).

The spelling of 322432 in words is "three hundred twenty-two thousand, four hundred thirty-two".