422004400 has 60 divisors (see below), whose sum is σ = 1023272800. Its totient is φ = 167235840.

The previous prime is 422004329. The next prime is 422004409. The reversal of 422004400 is 4400224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (422004409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38761 + ... + 48439.

Almost surely, 2^422004400 is an apocalyptic number.

422004400 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 422004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511636400).

422004400 is an abundant number, since it is smaller than the sum of its proper divisors (601268400).

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

422004400 is a wasteful number, since it uses less digits than its factorization.

422004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9806 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 422004400 is about 20542.7456782194. The cubic root of 422004400 is about 750.0766736428.

Adding to 422004400 its reverse (4400224), we get a palindrome (426404624).

The spelling of 422004400 in words is "four hundred twenty-two million, four thousand, four hundred".