442302345 has 48 divisors (see below), whose sum is σ = 839788560. Its totient is φ = 214351872.

The previous prime is 442302337. The next prime is 442302347. The reversal of 442302345 is 543203244.

442302345 is a `hidden beast` number, since 4 + 423 + 0 + 234 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3316041 + 438986304 = 1821^2 + 20952^2 .

It is not a de Polignac number, because 442302345 - 2³ = 442302337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442302347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12217 + ... + 32153.

It is an arithmetic number, because the mean of its divisors is an integer number (17495595).

Almost surely, 2^442302345 is an apocalyptic number.

442302345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442302345 is a deficient number, since it is larger than the sum of its proper divisors (397486215).

442302345 is a wasteful number, since it uses less digits than its factorization.

442302345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19994 (or 19991 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 442302345 is about 21030.9853549471. The cubic root of 442302345 is about 761.9148074720.

Adding to 442302345 its reverse (543203244), we get a palindrome (985505589).

The spelling of 442302345 in words is "four hundred forty-two million, three hundred two thousand, three hundred forty-five".