4205232 has 120 divisors (see below), whose sum is σ = 13057200. Its totient is φ = 1257984.

The previous prime is 4205219. The next prime is 4205233. The reversal of 4205232 is 2325024.

4205232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 4¹¹ + 2⁵ + 0 + 5 + 2⁹ + 3⁷ + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (4205233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79318 + ... + 79370.

It is an arithmetic number, because the mean of its divisors is an integer number (108810).

Almost surely, 2^4205232 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 4205232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528600).

4205232 is an abundant number, since it is smaller than the sum of its proper divisors (8851968).

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

4205232 is a wasteful number, since it uses less digits than its factorization.

4205232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4205232 is about 2050.6662332032. Note that the first 3 decimals coincide. The cubic root of 4205232 is about 161.4098325063.

The spelling of 4205232 in words is "four million, two hundred five thousand, two hundred thirty-two".