442464064 has 84 divisors (see below), whose sum is σ = 1049532064. Its totient is φ = 181285632.

The previous prime is 442464059. The next prime is 442464067. The reversal of 442464064 is 460464244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442464067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236059 + ... + 237925.

Almost surely, 2^442464064 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 442464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524766032).

442464064 is an abundant number, since it is smaller than the sum of its proper divisors (607068000).

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

442464064 is a wasteful number, since it uses less digits than its factorization.

442464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1899 counting only the distinct ones).

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

The square root of 442464064 is about 21034.8297830051. The cubic root of 442464064 is about 762.0076557902.

The spelling of 442464064 in words is "four hundred forty-two million, four hundred sixty-four thousand, sixty-four".