4406820 has 72 divisors (see below), whose sum is σ = 13585152. Its totient is φ = 1066560.

The previous prime is 4406819. The next prime is 4406821. The reversal of 4406820 is 286044.

It is an interprime number because it is at equal distance from previous prime (4406819) and next prime (4406821).

It is not an unprimeable number, because it can be changed into a prime (4406821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6957 + ... + 7563.

Almost surely, 2^4406820 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 4406820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792576).

4406820 is an abundant number, since it is smaller than the sum of its proper divisors (9178332).

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

4406820 is a wasteful number, since it uses less digits than its factorization.

4406820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4406820 is about 2099.2427206019. The cubic root of 4406820 is about 163.9488736131.

It can be divided in two parts, 440 and 6820, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 4406820 in words is "four million, four hundred six thousand, eight hundred twenty".