4227920 has 40 divisors (see below), whose sum is σ = 10077480. Its totient is φ = 1648640.

The previous prime is 4227893. The next prime is 4227931. The reversal of 4227920 is 297224.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 4048144 = 424^2 + 2012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 4¹¹ + 2³ + 2¹¹ + 7⁵ + 9⁴ + 2¹³ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4227920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2636 + ... + 3924.

It is an arithmetic number, because the mean of its divisors is an integer number (251937).

Almost surely, 2^4227920 is an apocalyptic number.

4227920 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 4227920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038740).

4227920 is an abundant number, since it is smaller than the sum of its proper divisors (5849560).

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

4227920 is a wasteful number, since it uses less digits than its factorization.

4227920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4227920 is about 2056.1906526390. The cubic root of 4227920 is about 161.6995906067.

The spelling of 4227920 in words is "four million, two hundred twenty-seven thousand, nine hundred twenty".