442144064 has 56 divisors (see below), whose sum is σ = 899163048. Its totient is φ = 215654400.

The previous prime is 442144049. The next prime is 442144067. The reversal of 442144064 is 460441244.

It can be written as a sum of positive squares in 4 ways, for example, as 81144064 + 361000000 = 9008^2 + 19000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442144067) 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, 471404 + ... + 472340.

It is an arithmetic number, because the mean of its divisors is an integer number (16056483).

Almost surely, 2^442144064 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 442144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449581524).

442144064 is an abundant number, since it is smaller than the sum of its proper divisors (457018984).

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

442144064 is a wasteful number, since it uses less digits than its factorization.

442144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 442144064 is about 21027.2219753347. The cubic root of 442144064 is about 761.8239111072.

The spelling of 442144064 in words is "four hundred forty-two million, one hundred forty-four thousand, sixty-four".