442040320 has 136 divisors (see below), whose sum is σ = 1132453440. Its totient is φ = 165150720.

The previous prime is 442040297. The next prime is 442040323. The reversal of 442040320 is 23040244.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442040323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6225885 + ... + 6225955.

Almost surely, 2^442040320 is an apocalyptic number.

442040320 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 442040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566226720).

442040320 is an abundant number, since it is smaller than the sum of its proper divisors (690413120).

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

442040320 is an frugal number, since it uses more digits than its factorization.

442040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 442040320 is about 21024.7549331734. The cubic root of 442040320 is about 761.7643220512.

Adding to 442040320 its reverse (23040244), we get a palindrome (465080564).

The spelling of 442040320 in words is "four hundred forty-two million, forty thousand, three hundred twenty".