442350048 has 144 divisors (see below), whose sum is σ = 1359638784. Its totient is φ = 125556480.

The previous prime is 442350037. The next prime is 442350049. The reversal of 442350048 is 840053244.

It is a junction number, because it is equal to n+sod(n) for n = 442349997 and 442350024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442350049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274611 + ... + 1274957.

It is an arithmetic number, because the mean of its divisors is an integer number (9441936).

Almost surely, 2^442350048 is an apocalyptic number.

442350048 is a gapful number since it is divisible by the number (48) 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 442350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679819392).

442350048 is an abundant number, since it is smaller than the sum of its proper divisors (917288736).

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

442350048 is a wasteful number, since it uses less digits than its factorization.

442350048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 442350048 is about 21032.1194367092. The cubic root of 442350048 is about 761.9421977221.

The spelling of 442350048 in words is "four hundred forty-two million, three hundred fifty thousand, forty-eight".