422505405 has 48 divisors (see below), whose sum is σ = 859607424. Its totient is φ = 187920000.

The previous prime is 422505383. The next prime is 422505409. The reversal of 422505405 is 504505224.

422505405 is a `hidden beast` number, since 4 + 2 + 250 + 5 + 405 = 666.

It is not a de Polignac number, because 422505405 - 2⁶ = 422505341 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422505409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6471 + ... + 29780.

It is an arithmetic number, because the mean of its divisors is an integer number (17908488).

Almost surely, 2^422505405 is an apocalyptic number.

422505405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422505405 is an abundant number, since it is smaller than the sum of its proper divisors (437102019).

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

422505405 is a wasteful number, since it uses less digits than its factorization.

422505405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36306 (or 36303 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 422505405 is about 20554.9362684490. The cubic root of 422505405 is about 750.3733874116.

The spelling of 422505405 in words is "four hundred twenty-two million, five hundred five thousand, four hundred five".