4229760 has 64 divisors (see below), whose sum is σ = 13488480. Its totient is φ = 1127424.

The previous prime is 4229759. The next prime is 4229767. The reversal of 4229760 is 679224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 4¹¹ + 2¹¹ + 2¹⁵ + 9² + 7³ + 6³ + 0 .

It is not an unprimeable number, because it can be changed into a prime (4229767) 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 7 ways as a sum of consecutive naturals, for example, 819 + ... + 3021.

Almost surely, 2^4229760 is an apocalyptic number.

4229760 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 4229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744240).

4229760 is an abundant number, since it is smaller than the sum of its proper divisors (9258720).

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

4229760 is a wasteful number, since it uses less digits than its factorization.

4229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4229760 is about 2056.6380332961. The cubic root of 4229760 is about 161.7230445428.

The spelling of 4229760 in words is "four million, two hundred twenty-nine thousand, seven hundred sixty".