4212800 has 42 divisors (see below), whose sum is σ = 10370058. Its totient is φ = 1684480.

The previous prime is 4212799. The next prime is 4212827. The reversal of 4212800 is 82124.

4212800 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 4194304 = 136^2 + 2048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284 + ... + 2916.

Almost surely, 2^4212800 is an apocalyptic number.

4212800 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 4212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185029).

4212800 is an abundant number, since it is smaller than the sum of its proper divisors (6157258).

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

4212800 is a wasteful number, since it uses less digits than its factorization.

4212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4212800 is about 2052.5106577068. The cubic root of 4212800 is about 161.5066022407.

Adding to 4212800 its reverse (82124), we get a palindrome (4294924).

The spelling of 4212800 in words is "four million, two hundred twelve thousand, eight hundred".