422305400 has 96 divisors (see below), whose sum is σ = 1127606400. Its totient is φ = 145468800.

The previous prime is 422305397. The next prime is 422305417. The reversal of 422305400 is 4503224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36749 + ... + 46851.

It is an arithmetic number, because the mean of its divisors is an integer number (11745900).

Almost surely, 2^422305400 is an apocalyptic number.

422305400 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 422305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563803200).

422305400 is an abundant number, since it is smaller than the sum of its proper divisors (705301000).

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

422305400 is a wasteful number, since it uses less digits than its factorization.

422305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10149 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 422305400 is about 20550.0705594896. The cubic root of 422305400 is about 750.2549651657.

Adding to 422305400 its reverse (4503224), we get a palindrome (426808624).

The spelling of 422305400 in words is "four hundred twenty-two million, three hundred five thousand, four hundred".