442233432 has 80 divisors (see below), whose sum is σ = 1242766800. Its totient is φ = 146923200.

The previous prime is 442233419. The next prime is 442233439. The reversal of 442233432 is 234332244.

442233432 is a `hidden beast` number, since 4 + 4 + 223 + 3 + 432 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442233396 and 442233405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442233439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 231682 + ... + 233582.

It is an arithmetic number, because the mean of its divisors is an integer number (15534585).

Almost surely, 2^442233432 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 442233432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621383400).

442233432 is an abundant number, since it is smaller than the sum of its proper divisors (800533368).

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

442233432 is a wasteful number, since it uses less digits than its factorization.

442233432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2265 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 442233432 is about 21029.3469228124. The cubic root of 442233432 is about 761.8752353235.

Adding to 442233432 its reverse (234332244), we get a palindrome (676565676).

The spelling of 442233432 in words is "four hundred forty-two million, two hundred thirty-three thousand, four hundred thirty-two".