422283600 has 180 divisors, whose sum is σ = 1501708572. Its totient is φ = 109824000.

The previous prime is 422283571. The next prime is 422283601. The reversal of 422283600 is 6382224.

It can be written as a sum of positive squares in 6 ways, for example, as 62346816 + 359936784 = 7896^2 + 18972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422283601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146170 + ... + 149030.

Almost surely, 2^422283600 is an apocalyptic number.

422283600 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 422283600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750854286).

422283600 is an abundant number, since it is smaller than the sum of its proper divisors (1079424972).

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

422283600 is a wasteful number, since it uses less digits than its factorization.

422283600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 422283600 is about 20549.5401408401. The cubic root of 422283600 is about 750.2420552040.

The spelling of 422283600 in words is "four hundred twenty-two million, two hundred eighty-three thousand, six hundred".