4007220 has 144 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 865536.

The previous prime is 4007219. The next prime is 4007239. The reversal of 4007220 is 227004.

4007220 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4007220.

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 47 ways as a sum of consecutive naturals, for example, 85237 + ... + 85283.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 2^4007220 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 4007220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4007220 is an abundant number, since it is smaller than the sum of its proper divisors (9782220).

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

4007220 is a wasteful number, since it uses less digits than its factorization.

4007220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 4007220 is about 2001.8041862280. The cubic root of 4007220 is about 158.8355564200.

The spelling of 4007220 in words is "four million, seven thousand, two hundred twenty".