4221580 has 48 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1483200.

The previous prime is 4221577. The next prime is 4221583. The reversal of 4221580 is 851224.

It is an interprime number because it is at equal distance from previous prime (4221577) and next prime (4221583).

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

It is not an unprimeable number, because it can be changed into a prime (4221583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6511 + ... + 7129.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 2^4221580 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 4221580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

4221580 is an abundant number, since it is smaller than the sum of its proper divisors (5777780).

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

4221580 is a wasteful number, since it uses less digits than its factorization.

4221580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4221580 is about 2054.6483884110. The cubic root of 4221580 is about 161.6187243441.

4221580 divided by its sum of digits (22) gives a triangular number (191890 = T₆₁₉).

It can be divided in two parts, 422 and 1580, that added together give a palindrome (2002).

The spelling of 4221580 in words is "four million, two hundred twenty-one thousand, five hundred eighty".