4193120 has 48 divisors (see below), whose sum is σ = 10069920. Its totient is φ = 1649664.

The previous prime is 4193113. The next prime is 4193131. The reversal of 4193120 is 213914.

It is a super-3 number, since 3×4193120³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4193092 and 4193101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11501 + ... + 11859.

It is an arithmetic number, because the mean of its divisors is an integer number (209790).

Almost surely, 2^4193120 is an apocalyptic number.

4193120 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 4193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034960).

4193120 is an abundant number, since it is smaller than the sum of its proper divisors (5876800).

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

4193120 is a wasteful number, since it uses less digits than its factorization.

4193120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 4193120 is about 2047.7109170974. The cubic root of 4193120 is about 161.2547181281.

The spelling of 4193120 in words is "four million, one hundred ninety-three thousand, one hundred twenty".