442928640 has 480 divisors, whose sum is σ = 1813705344. Its totient is φ = 91176960.

The previous prime is 442928639. The next prime is 442928657. The reversal of 442928640 is 46829244.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139467 + ... + 4139573.

Almost surely, 2^442928640 is an apocalyptic number.

442928640 is a gapful number since it is divisible by the number (40) 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 442928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906852672).

442928640 is an abundant number, since it is smaller than the sum of its proper divisors (1370776704).

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

442928640 is a wasteful number, since it uses less digits than its factorization.

442928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 442928640 is about 21045.8699036177. The cubic root of 442928640 is about 762.2742587147.

The spelling of 442928640 in words is "four hundred forty-two million, nine hundred twenty-eight thousand, six hundred forty".