422873472 has 128 divisors (see below), whose sum is σ = 1305273600. Its totient is φ = 118794240.

The previous prime is 422873471. The next prime is 422873501. The reversal of 422873472 is 274378224.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 422873472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422873471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162679 + ... + 165257.

It is an arithmetic number, because the mean of its divisors is an integer number (10197450).

Almost surely, 2^422873472 is an apocalyptic number.

422873472 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 422873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652636800).

422873472 is an abundant number, since it is smaller than the sum of its proper divisors (882400128).

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

422873472 is a wasteful number, since it uses less digits than its factorization.

422873472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2652 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 422873472 is about 20563.8875702042. The cubic root of 422873472 is about 750.5912209324.

The spelling of 422873472 in words is "four hundred twenty-two million, eight hundred seventy-three thousand, four hundred seventy-two".