422294400 has 576 divisors, whose sum is σ = 1736317440. Its totient is φ = 96768000.

The previous prime is 422294381. The next prime is 422294423. The reversal of 422294400 is 4492224.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9820779 + ... + 9820821.

It is an arithmetic number, because the mean of its divisors is an integer number (3014440).

Almost surely, 2^422294400 is an apocalyptic number.

422294400 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 422294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868158720).

422294400 is an abundant number, since it is smaller than the sum of its proper divisors (1314023040).

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

422294400 is a wasteful number, since it uses less digits than its factorization.

422294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 422294400 is about 20549.8029187630. The cubic root of 422294400 is about 750.2484510204.

The spelling of 422294400 in words is "four hundred twenty-two million, two hundred ninety-four thousand, four hundred".