4205344 has 48 divisors (see below), whose sum is σ = 9737280. Its totient is φ = 1762560.

The previous prime is 4205323. The next prime is 4205347. The reversal of 4205344 is 4435024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 4⁴ + 2 + 0 + 5³ + 3⁸ + 4⁶ + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4117 + ... + 5035.

It is an arithmetic number, because the mean of its divisors is an integer number (202860).

Almost surely, 2^4205344 is an apocalyptic number.

4205344 is a gapful number since it is divisible by the number (44) 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 4205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868640).

4205344 is an abundant number, since it is smaller than the sum of its proper divisors (5531936).

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

4205344 is a wasteful number, since it uses less digits than its factorization.

4205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4205344 is about 2050.6935412197. The cubic root of 4205344 is about 161.4112654626.

The spelling of 4205344 in words is "four million, two hundred five thousand, three hundred forty-four".