442755072 has 240 divisors, whose sum is σ = 1409187780. Its totient is φ = 138018816.

The previous prime is 442755067. The next prime is 442755143. The reversal of 442755072 is 270557244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 442008576 + 746496 = 21024^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2820018 + ... + 2820174.

Almost surely, 2^442755072 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 442755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704593890).

442755072 is an abundant number, since it is smaller than the sum of its proper divisors (966432708).

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

442755072 is a wasteful number, since it uses less digits than its factorization.

442755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 442755072 is about 21041.7459351642. The cubic root of 442755072 is about 762.1746763046.

The spelling of 442755072 in words is "four hundred forty-two million, seven hundred fifty-five thousand, seventy-two".