4221840 has 120 divisors (see below), whose sum is σ = 15266880. Its totient is φ = 962304.

The previous prime is 4221829. The next prime is 4221851. The reversal of 4221840 is 481224.

It is an interprime number because it is at equal distance from previous prime (4221829) and next prime (4221851).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11581 + ... + 11939.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^4221840 is an apocalyptic number.

4221840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440).

4221840 is an abundant number, since it is smaller than the sum of its proper divisors (11045040).

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

4221840 is a wasteful number, since it uses less digits than its factorization.

4221840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4221840 is about 2054.7116586032. The cubic root of 4221840 is about 161.6220422176.

The spelling of 4221840 in words is "four million, two hundred twenty-one thousand, eight hundred forty".