442411664 has 40 divisors (see below), whose sum is σ = 908775168. Its totient is φ = 208275840.

The previous prime is 442411661. The next prime is 442411687. The reversal of 442411664 is 466114244.

It is a self number, because there is not a number n which added to its sum of digits gives 442411664.

It is not an unprimeable number, because it can be changed into a prime (442411661) 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, 6299 + ... + 30405.

Almost surely, 2^442411664 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 442411664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454387584).

442411664 is an abundant number, since it is smaller than the sum of its proper divisors (466363504).

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

442411664 is a wasteful number, since it uses less digits than its factorization.

442411664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24183 (or 24177 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 442411664 is about 21033.5841929045. The cubic root of 442411664 is about 761.9775736655.

The spelling of 442411664 in words is "four hundred forty-two million, four hundred eleven thousand, six hundred sixty-four".