442516420 has 12 divisors (see below), whose sum is σ = 929284524. Its totient is φ = 177006560.

The previous prime is 442516391. The next prime is 442516429. The reversal of 442516420 is 24615244.

It can be written as a sum of positive squares in 2 ways, for example, as 150994944 + 291521476 = 12288^2 + 17074^2 .

It is not an unprimeable number, because it can be changed into a prime (442516429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11062891 + ... + 11062930.

It is an arithmetic number, because the mean of its divisors is an integer number (77440377).

Almost surely, 2^442516420 is an apocalyptic number.

It is an amenable number.

442516420 is an abundant number, since it is smaller than the sum of its proper divisors (486768104).

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

442516420 is a wasteful number, since it uses less digits than its factorization.

442516420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125830 (or 22125828 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 442516420 is about 21036.0742535293. The cubic root of 442516420 is about 762.0377102832.

The spelling of 442516420 in words is "four hundred forty-two million, five hundred sixteen thousand, four hundred twenty".