442233800 has 36 divisors (see below), whose sum is σ = 1028885505. Its totient is φ = 176774560.

The previous prime is 442233793. The next prime is 442233809. The reversal of 442233800 is 8332244.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 433389124 + 8844676 = 20818^2 + 2974^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14870.

It is a self number, because there is not a number n which added to its sum of digits gives 442233800.

It is not an unprimeable number, because it can be changed into a prime (442233809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 296657 + ... + 298143.

Almost surely, 2^442233800 is an apocalyptic number.

442233800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442233800 is an abundant number, since it is smaller than the sum of its proper divisors (586651705).

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

442233800 is an equidigital number, since it uses as much as digits as its factorization.

442233800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 442233800 is about 21029.3556724879. The cubic root of 442233800 is about 761.8754466523.

Multiplying 442233800 by its product of nonzero digits (4608), we get a square (2037813350400 = 1427520²).

The spelling of 442233800 in words is "four hundred forty-two million, two hundred thirty-three thousand, eight hundred".