4008420 has 96 divisors (see below), whose sum is σ = 13453440. Its totient is φ = 984960.

The previous prime is 4008397. The next prime is 4008421. The reversal of 4008420 is 248004.

It is a happy number.

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 = 4008393 and 4008402.

It is not an unprimeable number, because it can be changed into a prime (4008421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6735 + ... + 7305.

It is an arithmetic number, because the mean of its divisors is an integer number (140140).

Almost surely, 2^4008420 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 4008420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726720).

4008420 is an abundant number, since it is smaller than the sum of its proper divisors (9445020).

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

4008420 is a wasteful number, since it uses less digits than its factorization.

4008420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4008420 is about 2002.1038934081. The cubic root of 4008420 is about 158.8514097751.

It can be divided in two parts, 40084 and 20, that added together give a palindrome (40104).

The spelling of 4008420 in words is "four million, eight thousand, four hundred twenty".