442460953872 has 200 divisors, whose sum is σ = 1482083116800. Its totient is φ = 124816992768.

The previous prime is 442460953867. The next prime is 442460953873. The reversal of 442460953872 is 278359064244.

It is a happy number.

442460953872 is a `hidden beast` number, since 4 + 4 + 24 + 609 + 5 + 3 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×442460953872² (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 (442460953873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 408004 + ... + 1025372.

It is an arithmetic number, because the mean of its divisors is an integer number (7410415584).

Almost surely, 2^442460953872 is an apocalyptic number.

442460953872 is a gapful number since it is divisible by the number (42) 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 442460953872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741041558400).

442460953872 is an abundant number, since it is smaller than the sum of its proper divisors (1039622162928).

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

442460953872 is a wasteful number, since it uses less digits than its factorization.

442460953872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617475 (or 617460 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 442460953872 in words is "four hundred forty-two billion, four hundred sixty million, nine hundred fifty-three thousand, eight hundred seventy-two".