422253200 has 60 divisors (see below), whose sum is σ = 1019474928. Its totient is φ = 168067200.

The previous prime is 422253197. The next prime is 422253203. The reversal of 422253200 is 2352224.

It is an interprime number because it is at equal distance from previous prime (422253197) and next prime (422253203).

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

It is not an unprimeable number, because it can be changed into a prime (422253203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81899 + ... + 86901.

Almost surely, 2^422253200 is an apocalyptic number.

422253200 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 422253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509737464).

422253200 is an abundant number, since it is smaller than the sum of its proper divisors (597221728).

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

422253200 is a wasteful number, since it uses less digits than its factorization.

422253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5221 counting only the distinct ones).

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

The square root of 422253200 is about 20548.8004516079. The cubic root of 422253200 is about 750.2240515797.

The spelling of 422253200 in words is "four hundred twenty-two million, two hundred fifty-three thousand, two hundred".