442413342 has 48 divisors (see below), whose sum is σ = 1105584480. Its totient is φ = 125240256.

The previous prime is 442413337. The next prime is 442413343. The reversal of 442413342 is 243314244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442413343) 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, 2373 + ... + 29840.

It is an arithmetic number, because the mean of its divisors is an integer number (23033010).

Almost surely, 2^442413342 is an apocalyptic number.

442413342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442413342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552792240).

442413342 is an abundant number, since it is smaller than the sum of its proper divisors (663171138).

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

442413342 is a wasteful number, since it uses less digits than its factorization.

442413342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32337 (or 32334 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 442413342 is about 21033.6240814559. The cubic root of 442413342 is about 761.9785370192.

Adding to 442413342 its reverse (243314244), we get a palindrome (685727586).

It can be divided in two parts, 4424 and 13342, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 442413342 in words is "four hundred forty-two million, four hundred thirteen thousand, three hundred forty-two".