442433000 has 64 divisors (see below), whose sum is σ = 1052410320. Its totient is φ = 174048000.

The previous prime is 442432999. The next prime is 442433011. The reversal of 442433000 is 334244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3844 + 442429156 = 62^2 + 21034^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57374 + ... + 64626.

Almost surely, 2^442433000 is an apocalyptic number.

442433000 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 442433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526205160).

442433000 is an abundant number, since it is smaller than the sum of its proper divisors (609977320).

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

442433000 is a wasteful number, since it uses less digits than its factorization.

442433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 442433000 is about 21034.0913756692. The cubic root of 442433000 is about 761.9898226585.

Adding to 442433000 its reverse (334244), we get a palindrome (442767244).

The spelling of 442433000 in words is "four hundred forty-two million, four hundred thirty-three thousand".