442003320 has 288 divisors, whose sum is σ = 1612119600. Its totient is φ = 104924160.

The previous prime is 442003273. The next prime is 442003357. The reversal of 442003320 is 23300244.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 442003293 and 442003302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3179811 + ... + 3179949.

Almost surely, 2^442003320 is an apocalyptic number.

442003320 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 442003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806059800).

442003320 is an abundant number, since it is smaller than the sum of its proper divisors (1170116280).

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

442003320 is a wasteful number, since it uses less digits than its factorization.

442003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 442003320 is about 21023.8749996284. The cubic root of 442003320 is about 761.7430675298.

Adding to 442003320 its reverse (23300244), we get a palindrome (465303564).

The spelling of 442003320 in words is "four hundred forty-two million, three thousand, three hundred twenty".