442711968 has 48 divisors (see below), whose sum is σ = 1184059296. Its totient is φ = 144784640.

The previous prime is 442711963. The next prime is 442712003. The reversal of 442711968 is 869117244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×442711968² = 391987773220866048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442711963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38418 + ... + 48593.

It is an arithmetic number, because the mean of its divisors is an integer number (24667902).

Almost surely, 2^442711968 is an apocalyptic number.

442711968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442711968 is an abundant number, since it is smaller than the sum of its proper divisors (741347328).

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

442711968 is a wasteful number, since it uses less digits than its factorization.

442711968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87077 (or 87069 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 442711968 is about 21040.7216606275. The cubic root of 442711968 is about 762.1499419044.

The spelling of 442711968 in words is "four hundred forty-two million, seven hundred eleven thousand, nine hundred sixty-eight".