442421100 has 432 divisors, whose sum is σ = 1657393920. Its totient is φ = 97574400.

The previous prime is 442421059. The next prime is 442421101. The reversal of 442421100 is 1124244.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442421101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6603267 + ... + 6603333.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 2^442421100 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 442421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960).

442421100 is an abundant number, since it is smaller than the sum of its proper divisors (1214972820).

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

442421100 is a wasteful number, since it uses less digits than its factorization.

442421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442421100 is about 21033.8084996512. The cubic root of 442421100 is about 761.9829909196.

Adding to 442421100 its reverse (1124244), we get a palindrome (443545344).

The spelling of 442421100 in words is "four hundred forty-two million, four hundred twenty-one thousand, one hundred".