442205820 has 144 divisors (see below), whose sum is σ = 1599736320. Its totient is φ = 96674688.

The previous prime is 442205809. The next prime is 442205837. The reversal of 442205820 is 28502244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21351 + ... + 36609.

It is an arithmetic number, because the mean of its divisors is an integer number (11109280).

Almost surely, 2^442205820 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 442205820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799868160).

442205820 is an abundant number, since it is smaller than the sum of its proper divisors (1157530500).

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

442205820 is a wasteful number, since it uses less digits than its factorization.

442205820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15304 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 442205820 is about 21028.6904014492. The cubic root of 442205820 is about 761.8593784364.

The spelling of 442205820 in words is "four hundred forty-two million, two hundred five thousand, eight hundred twenty".