442330040 has 32 divisors (see below), whose sum is σ = 1029564000. Its totient is φ = 170830464.

The previous prime is 442330039. The next prime is 442330151. The reversal of 442330040 is 40033244.

It is a happy number.

It is a super-3 number, since 3×442330040³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442329994 and 442330021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189500 + ... + 191819.

It is an arithmetic number, because the mean of its divisors is an integer number (32173875).

Almost surely, 2^442330040 is an apocalyptic number.

442330040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442330040 is an abundant number, since it is smaller than the sum of its proper divisors (587233960).

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

442330040 is a wasteful number, since it uses less digits than its factorization.

442330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381359 (or 381355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 442330040 is about 21031.6437778886. The cubic root of 442330040 is about 761.9307097091.

Adding to 442330040 its reverse (40033244), we get a palindrome (482363284).

The spelling of 442330040 in words is "four hundred forty-two million, three hundred thirty thousand, forty".