442650230784 has 384 divisors, whose sum is σ = 1384338271680. Its totient is φ = 141076463616.

The previous prime is 442650230783. The next prime is 442650230797. The reversal of 442650230784 is 487032056244.

It is a happy number.

442650230784 is a `hidden beast` number, since 4 + 4 + 265 + 0 + 2 + 307 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×442650230784² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442650230783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183139144 + ... + 183141560.

Almost surely, 2^442650230784 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 442650230784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692169135840).

442650230784 is an abundant number, since it is smaller than the sum of its proper divisors (941688040896).

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

442650230784 is an frugal number, since it uses more digits than its factorization.

442650230784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 442650230784 in words is "four hundred forty-two billion, six hundred fifty million, two hundred thirty thousand, seven hundred eighty-four".