4218960 has 40 divisors (see below), whose sum is σ = 13079520. Its totient is φ = 1124992.

The previous prime is 4218947. The next prime is 4218961. The reversal of 4218960 is 698124.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218961) 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, 8550 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (326988).

Almost surely, 2^4218960 is an apocalyptic number.

4218960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4218960 is an abundant number, since it is smaller than the sum of its proper divisors (8860560).

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

4218960 is a wasteful number, since it uses less digits than its factorization.

4218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17595 (or 17589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4218960 is about 2054.0107107803. The cubic root of 4218960 is about 161.5852827822.

The spelling of 4218960 in words is "four million, two hundred eighteen thousand, nine hundred sixty".