422244000 has 288 divisors, whose sum is σ = 1543900176. Its totient is φ = 109209600.

The previous prime is 422243999. The next prime is 422244073. The reversal of 422244000 is 442224.

422244000 is a `hidden beast` number, since 4 + 222 + 440 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7551504 + 414692496 = 2748^2 + 20364^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331842 + ... + 1332158.

Almost surely, 2^422244000 is an apocalyptic number.

422244000 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 422244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771950088).

422244000 is an abundant number, since it is smaller than the sum of its proper divisors (1121656176).

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

422244000 is a wasteful number, since it uses less digits than its factorization.

422244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 422244000 is about 20548.5765930392. The cubic root of 422244000 is about 750.2186029441.

Adding to 422244000 its reverse (442224), we get a palindrome (422686224).

The spelling of 422244000 in words is "four hundred twenty-two million, two hundred forty-four thousand".