422431400 has 96 divisors (see below), whose sum is σ = 1024320600. Its totient is φ = 161817600.

The previous prime is 422431397. The next prime is 422431433. The reversal of 422431400 is 4134224.

It can be written as a sum of positive squares in 12 ways, for example, as 8797156 + 413634244 = 2966^2 + 20338^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003190 + ... + 1003610.

Almost surely, 2^422431400 is an apocalyptic number.

422431400 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 422431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512160300).

422431400 is an abundant number, since it is smaller than the sum of its proper divisors (601889200).

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

422431400 is a wasteful number, since it uses less digits than its factorization.

422431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 422431400 is about 20553.1360137571. The cubic root of 422431400 is about 750.3295736722.

Adding to 422431400 its reverse (4134224), we get a palindrome (426565624).

The spelling of 422431400 in words is "four hundred twenty-two million, four hundred thirty-one thousand, four hundred".