442311100 has 288 divisors, whose sum is σ = 1319915520. Its totient is φ = 124416000.

The previous prime is 442311073. The next prime is 442311101. The reversal of 442311100 is 1113244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442311101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4057846 + ... + 4057954.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2^442311100 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 442311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

442311100 is an abundant number, since it is smaller than the sum of its proper divisors (877604420).

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

442311100 is a wasteful number, since it uses less digits than its factorization.

442311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 442311100 is about 21031.1934991812. The cubic root of 442311100 is about 761.9198345914.

Adding to 442311100 its reverse (1113244), we get a palindrome (443424344).

The spelling of 442311100 in words is "four hundred forty-two million, three hundred eleven thousand, one hundred".