422823200 has 54 divisors (see below), whose sum is σ = 1033638921. Its totient is φ = 168896640.

The previous prime is 422823199. The next prime is 422823209. The reversal of 422823200 is 2328224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 414366736 + 8456464 = 20356^2 + 2908^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14540.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422823209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 581237 + ... + 581963.

Almost surely, 2^422823200 is an apocalyptic number.

422823200 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 422823200

422823200 is an abundant number, since it is smaller than the sum of its proper divisors (610815721).

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

422823200 is an frugal number, since it uses more digits than its factorization.

422823200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 422823200 is about 20562.6651969048. The cubic root of 422823200 is about 750.5614758512.

The spelling of 422823200 in words is "four hundred twenty-two million, eight hundred twenty-three thousand, two hundred".