422172400 has 120 divisors (see below), whose sum is σ = 1150047920. Its totient is φ = 147640320.

The previous prime is 422172391. The next prime is 422172403. The reversal of 422172400 is 4271224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422172403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96664 + ... + 100936.

Almost surely, 2^422172400 is an apocalyptic number.

422172400 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 422172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575023960).

422172400 is an abundant number, since it is smaller than the sum of its proper divisors (727875520).

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

422172400 is a wasteful number, since it uses less digits than its factorization.

422172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 422172400 is about 20546.8343060434. The cubic root of 422172400 is about 750.1761956406.

The spelling of 422172400 in words is "four hundred twenty-two million, one hundred seventy-two thousand, four hundred".