422446400 has 42 divisors (see below), whose sum is σ = 1039486110. Its totient is φ = 168977920.

The previous prime is 422446369. The next prime is 422446403. The reversal of 422446400 is 4644224.

It can be written as a sum of positive squares in 3 ways, for example, as 719104 + 421727296 = 848^2 + 20536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 422446400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422446403) 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, 130415 + ... + 133614.

Almost surely, 2^422446400 is an apocalyptic number.

422446400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422446400 is an abundant number, since it is smaller than the sum of its proper divisors (617039710).

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

422446400 is a wasteful number, since it uses less digits than its factorization.

422446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264051 (or 264036 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 422446400 is about 20553.5009183351. The cubic root of 422446400 is about 750.3384546490.

It can be divided in two parts, 42 and 2446400, that added together give a palindrome (2446442).

The spelling of 422446400 in words is "four hundred twenty-two million, four hundred forty-six thousand, four hundred".