422536320 has 192 divisors, whose sum is σ = 1474644600. Its totient is φ = 111476736.

The previous prime is 422536313. The next prime is 422536321. The reversal of 422536320 is 23635224.

422536320 is a `hidden beast` number, since 4 + 2 + 25 + 3 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342398016 + 80138304 = 18504^2 + 8952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (422536321) 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, 627504 + ... + 628176.

Almost surely, 2^422536320 is an apocalyptic number.

422536320 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 422536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737322300).

422536320 is an abundant number, since it is smaller than the sum of its proper divisors (1052108280).

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

422536320 is a wasteful number, since it uses less digits than its factorization.

422536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 422536320 is about 20555.6882638359. The cubic root of 422536320 is about 750.3916887376.

The spelling of 422536320 in words is "four hundred twenty-two million, five hundred thirty-six thousand, three hundred twenty".