442865920 has 216 divisors, whose sum is σ = 1291840704. Its totient is φ = 144764928.

The previous prime is 442865881. The next prime is 442865921. The reversal of 442865920 is 29568244.

It is a super-2 number, since 2×442865920² = 392260446194892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (442865921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1442407 + ... + 1442713.

It is an arithmetic number, because the mean of its divisors is an integer number (5980744).

Almost surely, 2^442865920 is an apocalyptic number.

442865920 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 442865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645920352).

442865920 is an abundant number, since it is smaller than the sum of its proper divisors (848974784).

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

442865920 is a wasteful number, since it uses less digits than its factorization.

442865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 442865920 is about 21044.3797722812. The cubic root of 442865920 is about 762.2382769229.

The spelling of 442865920 in words is "four hundred forty-two million, eight hundred sixty-five thousand, nine hundred twenty".