442106500 has 96 divisors (see below), whose sum is σ = 1087736832. Its totient is φ = 155520000.

The previous prime is 442106491. The next prime is 442106527. The reversal of 442106500 is 5601244.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 169204 + ... + 171796.

It is an arithmetic number, because the mean of its divisors is an integer number (11330592).

Almost surely, 2^442106500 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 442106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543868416).

442106500 is an abundant number, since it is smaller than the sum of its proper divisors (645630332).

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

442106500 is a wasteful number, since it uses less digits than its factorization.

442106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 442106500 is about 21026.3287332810. The cubic root of 442106500 is about 761.8023359645.

Adding to 442106500 its reverse (5601244), we get a palindrome (447707744).

The spelling of 442106500 in words is "four hundred forty-two million, one hundred six thousand, five hundred".