442599920 has 160 divisors (see below), whose sum is σ = 1239670656. Its totient is φ = 143769600.

The previous prime is 442599917. The next prime is 442599929. The reversal of 442599920 is 29995244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442599929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849260 + ... + 849780.

Almost surely, 2^442599920 is an apocalyptic number.

442599920 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 442599920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619835328).

442599920 is an abundant number, since it is smaller than the sum of its proper divisors (797070736).

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

442599920 is a wasteful number, since it uses less digits than its factorization.

442599920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 442599920 is about 21038.0588458156. The cubic root of 442599920 is about 762.0856378057.

The spelling of 442599920 in words is "four hundred forty-two million, five hundred ninety-nine thousand, nine hundred twenty".