422442400 has 36 divisors (see below), whose sum is σ = 1031289462. Its totient is φ = 168976640.

The previous prime is 422442379. The next prime is 422442407. The reversal of 422442400 is 4244224.

It can be written as a sum of positive squares in 3 ways, for example, as 231891984 + 190550416 = 15228^2 + 13804^2 .

It is not an unprimeable number, because it can be changed into a prime (422442407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263227 + ... + 264826.

Almost surely, 2^422442400 is an apocalyptic number.

422442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422442400 is an abundant number, since it is smaller than the sum of its proper divisors (608847062).

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

422442400 is a wasteful number, since it uses less digits than its factorization.

422442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528073 (or 528060 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 422442400 is about 20553.4036110811. The cubic root of 422442400 is about 750.3360864091.

Adding to 422442400 its reverse (4244224), we get a palindrome (426686624).

It can be divided in two parts, 42244 and 2400, that added together give a palindrome (44644).

The spelling of 422442400 in words is "four hundred twenty-two million, four hundred forty-two thousand, four hundred".