422112432 has 160 divisors (see below), whose sum is σ = 1285632000. Its totient is φ = 116861184.

The previous prime is 422112421. The next prime is 422112433. The reversal of 422112432 is 234211224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422112399 and 422112408.

It is not an unprimeable number, because it can be changed into a prime (422112433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2121069 + ... + 2121267.

It is an arithmetic number, because the mean of its divisors is an integer number (8035200).

Almost surely, 2^422112432 is an apocalyptic number.

422112432 is a gapful number since it is divisible by the number (42) 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 422112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816000).

422112432 is an abundant number, since it is smaller than the sum of its proper divisors (863519568).

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

422112432 is a wasteful number, since it uses less digits than its factorization.

422112432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 422112432 is about 20545.3749539890. The cubic root of 422112432 is about 750.1406740572.

Adding to 422112432 its reverse (234211224), we get a palindrome (656323656).

It can be divided in two parts, 4221 and 12432, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 422112432 in words is "four hundred twenty-two million, one hundred twelve thousand, four hundred thirty-two".