4125420 has 144 divisors (see below), whose sum is σ = 14126112. Its totient is φ = 967680.

The previous prime is 4125419. The next prime is 4125421. The reversal of 4125420 is 245214.

It is an interprime number because it is at equal distance from previous prime (4125419) and next prime (4125421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4125393 and 4125402.

It is not an unprimeable number, because it can be changed into a prime (4125421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95919 + ... + 95961.

It is an arithmetic number, because the mean of its divisors is an integer number (98098).

Almost surely, 2^4125420 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 4125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063056).

4125420 is an abundant number, since it is smaller than the sum of its proper divisors (10000692).

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

4125420 is a wasteful number, since it uses less digits than its factorization.

4125420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4125420 is about 2031.1129953796. The cubic root of 4125420 is about 160.3821594036.

It can be divided in two parts, 412 and 5420, that added together give a cube (5832 = 18³).

The spelling of 4125420 in words is "four million, one hundred twenty-five thousand, four hundred twenty".