4138420 has 48 divisors (see below), whose sum is σ = 10217088. Its totient is φ = 1388160.

The previous prime is 4138391. The next prime is 4138451. The reversal of 4138420 is 248314.

4138420 = 338² + 339² + ... + 370².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4138391 and 4138400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2137 + ... + 3583.

It is an arithmetic number, because the mean of its divisors is an integer number (212856).

Almost surely, 2^4138420 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 4138420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108544).

4138420 is an abundant number, since it is smaller than the sum of its proper divisors (6078668).

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

4138420 is a wasteful number, since it uses less digits than its factorization.

4138420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4138420 is about 2034.3106940681. The cubic root of 4138420 is about 160.5504478730.

The spelling of 4138420 in words is "four million, one hundred thirty-eight thousand, four hundred twenty".