4058120 has 64 divisors (see below), whose sum is σ = 10419840. Its totient is φ = 1408000.

The previous prime is 4058113. The next prime is 4058137. The reversal of 4058120 is 218504.

Added to its reverse (218504) it gives a square (4276624 = 2068²).

4058120 is digitally balanced in base 2, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 4058092 and 4058101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9920 + ... + 10320.

It is an arithmetic number, because the mean of its divisors is an integer number (162810).

Almost surely, 2^4058120 is an apocalyptic number.

4058120 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 4058120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209920).

4058120 is an abundant number, since it is smaller than the sum of its proper divisors (6361720).

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

4058120 is a wasteful number, since it uses less digits than its factorization.

4058120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4058120 is about 2014.4775997762. The cubic root of 4058120 is about 159.5052425042.

Adding to 4058120 its reverse (218504), we get a square (4276624 = 2068²).

The spelling of 4058120 in words is "four million, fifty-eight thousand, one hundred twenty".