442022100 has 288 divisors, whose sum is σ = 1496154240. Its totient is φ = 99778560.

The previous prime is 442022071. The next prime is 442022167. The reversal of 442022100 is 1220244.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 442022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3911644 + ... + 3911756.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^442022100 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 442022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

442022100 is an abundant number, since it is smaller than the sum of its proper divisors (1054132140).

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

442022100 is a wasteful number, since it uses less digits than its factorization.

442022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 442022100 is about 21024.3216299599. The cubic root of 442022100 is about 761.7538557837.

Adding to 442022100 its reverse (1220244), we get a palindrome (443242344).

The spelling of 442022100 in words is "four hundred forty-two million, twenty-two thousand, one hundred".