4022784 has 100 divisors (see below), whose sum is σ = 12130734. Its totient is φ = 1327104.

The previous prime is 4022783. The next prime is 4022803. The reversal of 4022784 is 4872204.

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 518400 = 1872^2 + 720^2 .

It is a super-2 number, since 2×4022784² = 32365582221312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022783) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41424 + ... + 41520.

Almost surely, 2^4022784 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 4022784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065367).

4022784 is an abundant number, since it is smaller than the sum of its proper divisors (8107950).

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

4022784 is an frugal number, since it uses more digits than its factorization.

4022784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4022784 is about 2005.6879119145. The cubic root of 4022784 is about 159.0409292994.

Adding to 4022784 its reverse (4872204), we get a palindrome (8894988).

The spelling of 4022784 in words is "four million, twenty-two thousand, seven hundred eighty-four".