4217280 has 112 divisors (see below), whose sum is σ = 14045184. Its totient is φ = 1070080.

The previous prime is 4217237. The next prime is 4217281. The reversal of 4217280 is 827124.

4217280 = T₄₀₅ + T₄₀₆ + ... + T₄₅₀.

4217280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4217280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21985 + ... + 22175.

Almost surely, 2^4217280 is an apocalyptic number.

4217280 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 4217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022592).

4217280 is an abundant number, since it is smaller than the sum of its proper divisors (9827904).

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

4217280 is a wasteful number, since it uses less digits than its factorization.

4217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4217280 is about 2053.6017140624. The cubic root of 4217280 is about 161.5638320522.

The spelling of 4217280 in words is "four million, two hundred seventeen thousand, two hundred eighty".