4218912 has 96 divisors (see below), whose sum is σ = 13003200. Its totient is φ = 1327104.

The previous prime is 4218901. The next prime is 4218917. The reversal of 4218912 is 2198124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4218912³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4218917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16288 + ... + 16544.

It is an arithmetic number, because the mean of its divisors is an integer number (135450).

Almost surely, 2^4218912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501600).

4218912 is an abundant number, since it is smaller than the sum of its proper divisors (8784288).

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

4218912 is a wasteful number, since it uses less digits than its factorization.

4218912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4218912 is about 2053.9990262899. Note that the first 3 decimals coincide. The cubic root of 4218912 is about 161.5846699832.

The spelling of 4218912 in words is "four million, two hundred eighteen thousand, nine hundred twelve".