442141420 has 96 divisors (see below), whose sum is σ = 1125927936. Its totient is φ = 142560000.

The previous prime is 442141411. The next prime is 442141421. The reversal of 442141420 is 24141244.

It is a junction number, because it is equal to n+sod(n) for n = 442141391 and 442141400.

It is not an unprimeable number, because it can be changed into a prime (442141421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195295 + ... + 197545.

It is an arithmetic number, because the mean of its divisors is an integer number (11728416).

Almost surely, 2^442141420 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 442141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562963968).

442141420 is an abundant number, since it is smaller than the sum of its proper divisors (683786516).

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

442141420 is a wasteful number, since it uses less digits than its factorization.

442141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 442141420 is about 21027.1591043583. The cubic root of 442141420 is about 761.8223925475.

Adding to 442141420 its reverse (24141244), we get a palindrome (466282664).

The spelling of 442141420 in words is "four hundred forty-two million, one hundred forty-one thousand, four hundred twenty".