4232000 has 84 divisors (see below), whose sum is σ = 10956036. Its totient is φ = 1619200.

The previous prime is 4231993. The next prime is 4232009. The reversal of 4232000 is 2324.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 4096576 = 368^2 + 2024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183989 + ... + 184011.

It is an arithmetic number, because the mean of its divisors is an integer number (130429).

Almost surely, 2^4232000 is an apocalyptic number.

4232000 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 4232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478018).

4232000 is an abundant number, since it is smaller than the sum of its proper divisors (6724036).

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

4232000 is an equidigital number, since it uses as much as digits as its factorization.

4232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 4232000 is about 2057.1825392998. The cubic root of 4232000 is about 161.7515879818.

Adding to 4232000 its reverse (2324), we get a palindrome (4234324).

The spelling of 4232000 in words is "four million, two hundred thirty-two thousand".