442854458244 has 384 divisors, whose sum is σ = 1321253068800. Its totient is φ = 127079746560.

The previous prime is 442854458243. The next prime is 442854458309.

442854458244 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 54 + 4 + 582 + 4 + 4 = 666.

442854458244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442854458244² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (442854458243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 253493379 + ... + 253495125.

It is an arithmetic number, because the mean of its divisors is an integer number (3440763200).

Almost surely, 2^442854458244 is an apocalyptic number.

442854458244 is a gapful number since it is divisible by the number (44) 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 442854458244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660626534400).

442854458244 is an abundant number, since it is smaller than the sum of its proper divisors (878398610556).

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

442854458244 is a wasteful number, since it uses less digits than its factorization.

442854458244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1952 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 54.

The spelling of 442854458244 in words is "four hundred forty-two billion, eight hundred fifty-four million, four hundred fifty-eight thousand, two hundred forty-four".