442464464244 has 48 divisors (see below), whose sum is σ = 1126316511936. Its totient is φ = 134074982400.

The previous prime is 442464464219. The next prime is 442464464249.

It is a happy number.

442464464244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442464464193 and 442464464202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442464464249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4718374 + ... + 4811234.

It is an arithmetic number, because the mean of its divisors is an integer number (23464927332).

Almost surely, 2^442464464244 is an apocalyptic number.

442464464244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442464464244 is an abundant number, since it is smaller than the sum of its proper divisors (683852047692).

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

442464464244 is a wasteful number, since it uses less digits than its factorization.

442464464244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128976 (or 128974 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

The spelling of 442464464244 in words is "four hundred forty-two billion, four hundred sixty-four million, four hundred sixty-four thousand, two hundred forty-four".