442733940 has 144 divisors (see below), whose sum is σ = 1512516096. Its totient is φ = 103852800.

The previous prime is 442733939. The next prime is 442733947. The reversal of 442733940 is 49337244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442733895 and 442733904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442733947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57774 + ... + 64986.

It is an arithmetic number, because the mean of its divisors is an integer number (10503584).

Almost surely, 2^442733940 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 442733940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756258048).

442733940 is an abundant number, since it is smaller than the sum of its proper divisors (1069782156).

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

442733940 is a wasteful number, since it uses less digits than its factorization.

442733940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 442733940 is about 21041.2437845295. The cubic root of 442733940 is about 762.1625503140.

The spelling of 442733940 in words is "four hundred forty-two million, seven hundred thirty-three thousand, nine hundred forty".