442622464 has 80 divisors (see below), whose sum is σ = 927083520. Its totient is φ = 210862080.

The previous prime is 442622441. The next prime is 442622473. The reversal of 442622464 is 464226244.

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, 1253712 + ... + 1254064.

It is an arithmetic number, because the mean of its divisors is an integer number (11588544).

Almost surely, 2^442622464 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 442622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463541760).

442622464 is an abundant number, since it is smaller than the sum of its proper divisors (484461056).

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

442622464 is an equidigital number, since it uses as much as digits as its factorization.

442622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The square root of 442622464 is about 21038.5946298701. The cubic root of 442622464 is about 762.0985766294.

The spelling of 442622464 in words is "four hundred forty-two million, six hundred twenty-two thousand, four hundred sixty-four".