442705420 has 48 divisors (see below), whose sum is σ = 963341568. Its totient is φ = 170714880.

The previous prime is 442705397. The next prime is 442705423. The reversal of 442705420 is 24507244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (442705423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180442 + ... + 182878.

It is an arithmetic number, because the mean of its divisors is an integer number (20069616).

Almost surely, 2^442705420 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 442705420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481670784).

442705420 is an abundant number, since it is smaller than the sum of its proper divisors (520636148).

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

442705420 is a wasteful number, since it uses less digits than its factorization.

442705420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 442705420 is about 21040.5660570242. The cubic root of 442705420 is about 762.1461843203.

The spelling of 442705420 in words is "four hundred forty-two million, seven hundred five thousand, four hundred twenty".