443352420 has 192 divisors, whose sum is σ = 1606832640. Its totient is φ = 99380736.

The previous prime is 443352407. The next prime is 443352443. The reversal of 443352420 is 24253344.

It is a super-2 number, since 2×443352420² = 393122736639712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199234 + ... + 201446.

It is an arithmetic number, because the mean of its divisors is an integer number (8368920).

Almost surely, 2^443352420 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 443352420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803416320).

443352420 is an abundant number, since it is smaller than the sum of its proper divisors (1163480220).

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

443352420 is a wasteful number, since it uses less digits than its factorization.

443352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 443352420 is about 21055.9355052204. The cubic root of 443352420 is about 762.5172877922.

The spelling of 443352420 in words is "four hundred forty-three million, three hundred fifty-two thousand, four hundred twenty".