442755360 has 144 divisors (see below), whose sum is σ = 1516951800. Its totient is φ = 117596160.

The previous prime is 442755349. The next prime is 442755377. The reversal of 442755360 is 63557244.

442755360 is a `hidden beast` number, since 4 + 42 + 7 + 553 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 334012176 + 108743184 = 18276^2 + 10428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502120 + ... + 503000.

Almost surely, 2^442755360 is an apocalyptic number.

442755360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758475900).

442755360 is an abundant number, since it is smaller than the sum of its proper divisors (1074196440).

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

442755360 is a wasteful number, since it uses less digits than its factorization.

442755360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 442755360 is about 21041.7527787017. The cubic root of 442755360 is about 762.1748415625.

The spelling of 442755360 in words is "four hundred forty-two million, seven hundred fifty-five thousand, three hundred sixty".