442863264 has 48 divisors (see below), whose sum is σ = 1163604960. Its totient is φ = 147482880.

The previous prime is 442863259. The next prime is 442863271. The reversal of 442863264 is 462368244.

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

It is a super-2 number, since 2×442863264² = 392255741201467392, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184182 + ... + 186570.

It is an arithmetic number, because the mean of its divisors is an integer number (24241770).

Almost surely, 2^442863264 is an apocalyptic number.

It is an amenable number.

442863264 is an abundant number, since it is smaller than the sum of its proper divisors (720741696).

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

442863264 is a wasteful number, since it uses less digits than its factorization.

442863264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4325 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 442863264 is about 21044.3166674520. The cubic root of 442863264 is about 762.2367531291.

The spelling of 442863264 in words is "four hundred forty-two million, eight hundred sixty-three thousand, two hundred sixty-four".