442244256 has 96 divisors (see below), whose sum is σ = 1241811648. Its totient is φ = 137318400.

The previous prime is 442244251. The next prime is 442244261. The reversal of 442244256 is 652442244.

It is an interprime number because it is at equal distance from previous prime (442244251) and next prime (442244261).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (442244251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163491 + ... + 166173.

It is an arithmetic number, because the mean of its divisors is an integer number (12935538).

Almost surely, 2^442244256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620905824).

442244256 is an abundant number, since it is smaller than the sum of its proper divisors (799567392).

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

442244256 is a wasteful number, since it uses less digits than its factorization.

442244256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2806 counting only the distinct ones).

The product of its digits is 61440, while the sum is 33.

The square root of 442244256 is about 21029.6042758774. The cubic root of 442244256 is about 761.8814510983.

The spelling of 442244256 in words is "four hundred forty-two million, two hundred forty-four thousand, two hundred fifty-six".