4213600 has 72 divisors (see below), whose sum is σ = 10780560. Its totient is φ = 1605120.

The previous prime is 4213591. The next prime is 4213609. The reversal of 4213600 is 63124.

It is an interprime number because it is at equal distance from previous prime (4213591) and next prime (4213609).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213609) 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 11 ways as a sum of consecutive naturals, for example, 18286 + ... + 18514.

It is an arithmetic number, because the mean of its divisors is an integer number (149730).

Almost surely, 2^4213600 is an apocalyptic number.

4213600 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 4213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390280).

4213600 is an abundant number, since it is smaller than the sum of its proper divisors (6566960).

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

4213600 is a wasteful number, since it uses less digits than its factorization.

4213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4213600 is about 2052.7055317312. The cubic root of 4213600 is about 161.5168248246.

Adding to 4213600 its reverse (63124), we get a palindrome (4276724).

The spelling of 4213600 in words is "four million, two hundred thirteen thousand, six hundred".