442226320 has 20 divisors (see below), whose sum is σ = 1028176380. Its totient is φ = 176890496.

The previous prime is 442226293. The next prime is 442226333. The reversal of 442226320 is 23622244.

It can be written as a sum of positive squares in 2 ways, for example, as 342546064 + 99680256 = 18508^2 + 9984^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2763835 + ... + 2763994.

It is an arithmetic number, because the mean of its divisors is an integer number (51408819).

Almost surely, 2^442226320 is an apocalyptic number.

442226320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442226320 is an abundant number, since it is smaller than the sum of its proper divisors (585950060).

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

442226320 is a wasteful number, since it uses less digits than its factorization.

442226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527842 (or 5527836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 442226320 is about 21029.1778251077. The cubic root of 442226320 is about 761.8711511413.

Adding to 442226320 its reverse (23622244), we get a palindrome (465848564).

It can be divided in two parts, 442 and 226320, that multiplied together give a triangular number (100033440 = T₁₄₁₄₄).

The spelling of 442226320 in words is "four hundred forty-two million, two hundred twenty-six thousand, three hundred twenty".