422553312 has 288 divisors, whose sum is σ = 1358622720. Its totient is φ = 124001280.

The previous prime is 422553301. The next prime is 422553317. The reversal of 422553312 is 213355224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422553317) 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, 7972678 + ... + 7972730.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^422553312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

422553312 is an abundant number, since it is smaller than the sum of its proper divisors (936069408).

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

422553312 is a wasteful number, since it uses less digits than its factorization.

422553312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 422553312 is about 20556.1015759312. The cubic root of 422553312 is about 750.4017474269.

The spelling of 422553312 in words is "four hundred twenty-two million, five hundred fifty-three thousand, three hundred twelve".