4412800 has 96 divisors (see below), whose sum is σ = 12521520. Its totient is φ = 1505280.

The previous prime is 4412797. The next prime is 4412813. The reversal of 4412800 is 82144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22302 + ... + 22498.

Almost surely, 2^4412800 is an apocalyptic number.

4412800 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 4412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260760).

4412800 is an abundant number, since it is smaller than the sum of its proper divisors (8108720).

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

4412800 is a wasteful number, since it uses less digits than its factorization.

4412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4412800 is about 2100.6665608801. Note that the first 3 decimals coincide. The cubic root of 4412800 is about 164.0229989558.

Adding to 4412800 its reverse (82144), we get a palindrome (4494944).

The spelling of 4412800 in words is "four million, four hundred twelve thousand, eight hundred".