422112600 has 384 divisors, whose sum is σ = 1791552000. Its totient is φ = 88957440.

The previous prime is 422112599. The next prime is 422112611. The reversal of 422112600 is 6211224.

422112600 is a `hidden beast` number, since 42 + 21 + 1 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490971 + ... + 491829.

It is an arithmetic number, because the mean of its divisors is an integer number (4665500).

Almost surely, 2^422112600 is an apocalyptic number.

422112600 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 422112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895776000).

422112600 is an abundant number, since it is smaller than the sum of its proper divisors (1369439400).

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

422112600 is a wasteful number, since it uses less digits than its factorization.

422112600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 422112600 is about 20545.3790425000. The cubic root of 422112600 is about 750.1407735754.

Adding to 422112600 its reverse (6211224), we get a palindrome (428323824).

The spelling of 422112600 in words is "four hundred twenty-two million, one hundred twelve thousand, six hundred".