422886400 has 66 divisors (see below), whose sum is σ = 1048309640. Its totient is φ = 169144320.

The previous prime is 422886391. The next prime is 422886403. The reversal of 422886400 is 4688224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422886403) 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 5 ways as a sum of consecutive naturals, for example, 17341 + ... + 33859.

Almost surely, 2^422886400 is an apocalyptic number.

422886400 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 422886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524154820).

422886400 is an abundant number, since it is smaller than the sum of its proper divisors (625423240).

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

422886400 is a wasteful number, since it uses less digits than its factorization.

422886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16549 (or 16526 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 422886400 is about 20564.2019052527. The cubic root of 422886400 is about 750.5988698274.

The spelling of 422886400 in words is "four hundred twenty-two million, eight hundred eighty-six thousand, four hundred".