422400105 has 48 divisors (see below), whose sum is σ = 777389184. Its totient is φ = 211438080.

The previous prime is 422400101. The next prime is 422400127. The reversal of 422400105 is 501004224.

It is not a de Polignac number, because 422400105 - 2² = 422400101 is a prime.

It is a super-2 number, since 2×422400105² = 356843697408022050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422400101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436332 + ... + 437298.

It is an arithmetic number, because the mean of its divisors is an integer number (16195608).

Almost surely, 2^422400105 is an apocalyptic number.

422400105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422400105 is a deficient number, since it is larger than the sum of its proper divisors (354989079).

422400105 is a wasteful number, since it uses less digits than its factorization.

422400105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 422400105 is about 20552.3746803137. The cubic root of 422400105 is about 750.3110443174.

Adding to 422400105 its reverse (501004224), we get a palindrome (923404329).

The spelling of 422400105 in words is "four hundred twenty-two million, four hundred thousand, one hundred five".