422682624 has 420 divisors, whose sum is σ = 1581909714. Its totient is φ = 111476736.

The previous prime is 422682619. The next prime is 422682649. The reversal of 422682624 is 426286224.

422682624 is a `hidden beast` number, since 4 + 2 + 26 + 8 + 2 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406425600 + 16257024 = 20160^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32514042 + ... + 32514054.

Almost surely, 2^422682624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790954857).

422682624 is an abundant number, since it is smaller than the sum of its proper divisors (1159227090).

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

422682624 is an equidigital number, since it uses as much as digits as its factorization.

422682624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 422682624 is about 20559.2466788061. The cubic root of 422682624 is about 750.4782869240.

The spelling of 422682624 in words is "four hundred twenty-two million, six hundred eighty-two thousand, six hundred twenty-four".