442282368 has 64 divisors (see below), whose sum is σ = 1281625920. Its totient is φ = 134023680.

The previous prime is 442282307. The next prime is 442282381. The reversal of 442282368 is 863282244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×442282368² = 391227386087374848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48130 + ... + 56577.

It is an arithmetic number, because the mean of its divisors is an integer number (20025405).

Almost surely, 2^442282368 is an apocalyptic number.

442282368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442282368 is an abundant number, since it is smaller than the sum of its proper divisors (839343552).

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

442282368 is a wasteful number, since it uses less digits than its factorization.

442282368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104735 (or 104723 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 442282368 is about 21030.5104075008. The cubic root of 442282368 is about 761.9033364338.

The spelling of 442282368 in words is "four hundred forty-two million, two hundred eighty-two thousand, three hundred sixty-eight".