4205120 has 56 divisors (see below), whose sum is σ = 10616184. Its totient is φ = 1581056.

The previous prime is 4205093. The next prime is 4205129. The reversal of 4205120 is 215024.

It can be written as a sum of positive squares in 4 ways, for example, as 173056 + 4032064 = 416^2 + 2008^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4205095 and 4205104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5054 + ... + 5826.

Almost surely, 2^4205120 is an apocalyptic number.

4205120 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 4205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308092).

4205120 is an abundant number, since it is smaller than the sum of its proper divisors (6411064).

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

4205120 is a wasteful number, since it uses less digits than its factorization.

4205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4205120 is about 2050.6389248232. The cubic root of 4205120 is about 161.4083995246.

The spelling of 4205120 in words is "four million, two hundred five thousand, one hundred twenty".