4228640 has 96 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1465344.

The previous prime is 4228613. The next prime is 4228649. The reversal of 4228640 is 468224.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 4⁴ + 2³ + 2¹⁵ + 8 + 6⁴ + 4¹¹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (4228649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39467 + ... + 39573.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 2^4228640 is an apocalyptic number.

4228640 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 4228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4228640 is an abundant number, since it is smaller than the sum of its proper divisors (7202080).

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

4228640 is a wasteful number, since it uses less digits than its factorization.

4228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4228640 is about 2056.3657262267. The cubic root of 4228640 is about 161.7087690441.

It can be divided in two parts, 42 and 28640, that added together give a palindrome (28682).

The spelling of 4228640 in words is "four million, two hundred twenty-eight thousand, six hundred forty".