422071200 has 324 divisors, whose sum is σ = 1563099174. Its totient is φ = 107136000.

The previous prime is 422071193. The next prime is 422071201. The reversal of 422071200 is 2170224.

It can be written as a sum of positive squares in 3 ways, for example, as 189447696 + 232623504 = 13764^2 + 15252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (422071201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6919170 + ... + 6919230.

Almost surely, 2^422071200 is an apocalyptic number.

422071200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781549587).

422071200 is an abundant number, since it is smaller than the sum of its proper divisors (1141027974).

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

422071200 is a wasteful number, since it uses less digits than its factorization.

422071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 422071200 is about 20544.3714919683. The cubic root of 422071200 is about 750.1162486474.

It can be divided in two parts, 4 and 22071200, that added together give a square (22071204 = 4698²).

The spelling of 422071200 in words is "four hundred twenty-two million, seventy-one thousand, two hundred".