442250120 has 32 divisors (see below), whose sum is σ = 1071607320. Its totient is φ = 163292160.

The previous prime is 442250117. The next prime is 442250131. The reversal of 442250120 is 21052244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 206381956 + 235868164 = 14366^2 + 15358^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442250092 and 442250101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424721 + ... + 425760.

Almost surely, 2^442250120 is an apocalyptic number.

442250120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442250120 is an abundant number, since it is smaller than the sum of its proper divisors (629357200).

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

442250120 is a wasteful number, since it uses less digits than its factorization.

442250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850505 (or 850501 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 442250120 is about 21029.7436979151. The cubic root of 442250120 is about 761.8848185082.

The spelling of 442250120 in words is "four hundred forty-two million, two hundred fifty thousand, one hundred twenty".