442008864 has 216 divisors, whose sum is σ = 1422426096. Its totient is φ = 129100800.

The previous prime is 442008841. The next prime is 442008869. The reversal of 442008864 is 468800244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442008869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5325367 + ... + 5325449.

It is an arithmetic number, because the mean of its divisors is an integer number (6585306).

Almost surely, 2^442008864 is an apocalyptic number.

442008864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711213048).

442008864 is an abundant number, since it is smaller than the sum of its proper divisors (980417232).

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

442008864 is a wasteful number, since it uses less digits than its factorization.

442008864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 442008864 is about 21024.0068493140. The cubic root of 442008864 is about 761.7462523369.

The spelling of 442008864 in words is "four hundred forty-two million, eight thousand, eight hundred sixty-four".