442465564244 has 288 divisors, whose sum is σ = 992326204800. Its totient is φ = 170117038080.

The previous prime is 442465564241. The next prime is 442465564253.

It is a happy number.

442465564244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442465564244² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442465564192 and 442465564201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442465564241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1721655764 + ... + 1721656020.

It is an arithmetic number, because the mean of its divisors is an integer number (3445577100).

Almost surely, 2^442465564244 is an apocalyptic number.

442465564244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442465564244 is an abundant number, since it is smaller than the sum of its proper divisors (549860640556).

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

442465564244 is a wasteful number, since it uses less digits than its factorization.

442465564244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 558 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 442465564244 in words is "four hundred forty-two billion, four hundred sixty-five million, five hundred sixty-four thousand, two hundred forty-four".