442331100 has 108 divisors (see below), whose sum is σ = 1416096864. Its totient is φ = 115434240.

The previous prime is 442331093. The next prime is 442331111. The reversal of 442331100 is 1133244.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37072 + ... + 47528.

It is an arithmetic number, because the mean of its divisors is an integer number (13112008).

Almost surely, 2^442331100 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 442331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708048432).

442331100 is an abundant number, since it is smaller than the sum of its proper divisors (973765764).

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

442331100 is a wasteful number, since it uses less digits than its factorization.

442331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 442331100 is about 21031.6689779960. The cubic root of 442331100 is about 761.9313183390.

Adding to 442331100 its reverse (1133244), we get a palindrome (443464344).

The spelling of 442331100 in words is "four hundred forty-two million, three hundred thirty-one thousand, one hundred".