442333332 has 96 divisors (see below), whose sum is σ = 1367654400. Its totient is φ = 120881376.

The previous prime is 442333301. The next prime is 442333351. The reversal of 442333332 is 233333244.

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 = 442333296 and 442333305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4669 + ... + 30107.

It is an arithmetic number, because the mean of its divisors is an integer number (14246400).

Almost surely, 2^442333332 is an apocalyptic number.

442333332 is a gapful number since it is divisible by the number (42) 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 442333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683827200).

442333332 is an abundant number, since it is smaller than the sum of its proper divisors (925321068).

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

442333332 is a wasteful number, since it uses less digits than its factorization.

442333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25482 (or 25474 counting only the distinct ones).

The product of its digits is 15552, while the sum is 27.

The square root of 442333332 is about 21031.7220407650. The cubic root of 442333332 is about 761.9325999037.

Adding to 442333332 its reverse (233333244), we get a palindrome (675666576).

The spelling of 442333332 in words is "four hundred forty-two million, three hundred thirty-three thousand, three hundred thirty-two".