4088420 has 96 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1257984.

The previous prime is 4088417. The next prime is 4088423. The reversal of 4088420 is 248804.

4088420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4088417) and next prime (4088423).

It is a self number, because there is not a number n which added to its sum of digits gives 4088420.

It is not an unprimeable number, because it can be changed into a prime (4088423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 77114 + ... + 77166.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^4088420 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 4088420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

4088420 is an abundant number, since it is smaller than the sum of its proper divisors (6797980).

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

4088420 is a wasteful number, since it uses less digits than its factorization.

4088420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4088420 is about 2021.9841740231. The cubic root of 4088420 is about 159.9012411377.

It can be divided in two parts, 40884 and 20, that added together give a palindrome (40904).

The spelling of 4088420 in words is "four million, eighty-eight thousand, four hundred twenty".