442544160 has 192 divisors, whose sum is σ = 1447891200. Its totient is φ = 113541120.

The previous prime is 442544159. The next prime is 442544171. The reversal of 442544160 is 61445244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2223741 + ... + 2223939.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^442544160 is an apocalyptic number.

442544160 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 442544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

442544160 is an abundant number, since it is smaller than the sum of its proper divisors (1005347040).

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

442544160 is a wasteful number, since it uses less digits than its factorization.

442544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 442544160 is about 21036.7335867525. The cubic root of 442544160 is about 762.0536332211.

The spelling of 442544160 in words is "four hundred forty-two million, five hundred forty-four thousand, one hundred sixty".