4221360 has 240 divisors, whose sum is σ = 17061408. Its totient is φ = 921600.

The previous prime is 4221337. The next prime is 4221361. The reversal of 4221360 is 631224.

4221360 = T₂₇₉ + T₂₈₀ + ... + T₃₆₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4221361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102940 + ... + 102980.

Almost surely, 2^4221360 is an apocalyptic number.

4221360 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 4221360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

4221360 is an abundant number, since it is smaller than the sum of its proper divisors (12840048).

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

4221360 is a wasteful number, since it uses less digits than its factorization.

4221360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4221360 is about 2054.5948505727. The cubic root of 4221360 is about 161.6159168062.

Adding to 4221360 its reverse (631224), we get a palindrome (4852584).

The spelling of 4221360 in words is "four million, two hundred twenty-one thousand, three hundred sixty".