442344540 has 192 divisors, whose sum is σ = 1416683520. Its totient is φ = 102995200.

The previous prime is 442344503. The next prime is 442344557. The reversal of 442344540 is 45443244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442344498 and 442344507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2315845 + ... + 2316035.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2^442344540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442344540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708341760).

442344540 is an abundant number, since it is smaller than the sum of its proper divisors (974338980).

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

442344540 is a wasteful number, since it uses less digits than its factorization.

442344540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 442344540 is about 21031.9884937207. The cubic root of 442344540 is about 761.9390352229.

Adding to 442344540 its reverse (45443244), we get a palindrome (487787784).

The spelling of 442344540 in words is "four hundred forty-two million, three hundred forty-four thousand, five hundred forty".