4382820 has 72 divisors (see below), whose sum is σ = 14324856. Its totient is φ = 1078272.

The previous prime is 4382813. The next prime is 4382843. The reversal of 4382820 is 282834.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 4235364 = 384^2 + 2058^2 .

It is a super-2 number, since 2×4382820² = 38418222304800, which contains 22 as substring.

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, 1404 + ... + 3276.

Almost surely, 2^4382820 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 4382820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162428).

4382820 is an abundant number, since it is smaller than the sum of its proper divisors (9942036).

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

4382820 is a wasteful number, since it uses less digits than its factorization.

4382820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4382820 is about 2093.5185692991. The cubic root of 4382820 is about 163.6507041304.

The spelling of 4382820 in words is "four million, three hundred eighty-two thousand, eight hundred twenty".