422008416 has 72 divisors (see below), whose sum is σ = 1252283760. Its totient is φ = 134551296.

The previous prime is 422008409. The next prime is 422008417. The reversal of 422008416 is 614800224.

422008416 is a `hidden beast` number, since 42 + 200 + 8 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×422008416² = 356182206349658112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422008416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422008417) 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 11 ways as a sum of consecutive naturals, for example, 25231 + ... + 38478.

It is an arithmetic number, because the mean of its divisors is an integer number (17392830).

Almost surely, 2^422008416 is an apocalyptic number.

422008416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

422008416 is an abundant number, since it is smaller than the sum of its proper divisors (830275344).

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

422008416 is a wasteful number, since it uses less digits than its factorization.

422008416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63748 (or 63737 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 422008416 is about 20542.8434253878. The cubic root of 422008416 is about 750.0790530005.

The spelling of 422008416 in words is "four hundred twenty-two million, eight thousand, four hundred sixteen".