4193424 has 80 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 1313280.

The previous prime is 4193417. The next prime is 4193443. The reversal of 4193424 is 4243914.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 7059 + ... + 7629.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 2^4193424 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 4193424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

4193424 is an abundant number, since it is smaller than the sum of its proper divisors (8573616).

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

4193424 is a wasteful number, since it uses less digits than its factorization.

4193424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4193424 is about 2047.7851449798. The cubic root of 4193424 is about 161.2586150075.

The spelling of 4193424 in words is "four million, one hundred ninety-three thousand, four hundred twenty-four".